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Finding the Third Proportional to 324,378,175.50 and 707,701,277.25

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Solution

The third proportional to 324,378,175.50 and 707,701,277.25 is: 1,544,003,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,378,175.50 : 707,701,277.25 = 707,701,277.25 : x
  2. Step 2: Convert to fraction form
    324,378,175.50/707,701,277.25 = 707,701,277.25/x
  3. Step 3: Cross multiply
    324,378,175.50x = 707,701,277.25 × 707,701,277.25
  4. Step 4: Simplify right side
    324,378,175.50x = 500,841,097,821,281,344
  5. Step 5: Solve for x
    x = 500,841,097,821,281,344/324,378,175.50
  6. Step 6: Final answer
    x = 1,544,003,683.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.