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Finding the Third Proportional to 325,740 and 707,160

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Solution

The third proportional to 325,740 and 707,160 is: 1,535,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,740 : 707,160 = 707,160 : x
  2. Step 2: Convert to fraction form
    325,740/707,160 = 707,160/x
  3. Step 3: Cross multiply
    325,740x = 707,160 × 707,160
  4. Step 4: Simplify right side
    325,740x = 500,075,265,600
  5. Step 5: Solve for x
    x = 500,075,265,600/325,740
  6. Step 6: Final answer
    x = 1,535,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.