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Finding the Third Proportional to 687,175.50 and 1,048,532.25

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Solution

The third proportional to 687,175.50 and 1,048,532.25 is: 1,599,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,175.50 : 1,048,532.25 = 1,048,532.25 : x
  2. Step 2: Convert to fraction form
    687,175.50/1,048,532.25 = 1,048,532.25/x
  3. Step 3: Cross multiply
    687,175.50x = 1,048,532.25 × 1,048,532.25
  4. Step 4: Simplify right side
    687,175.50x = 1,099,419,879,290.06
  5. Step 5: Solve for x
    x = 1,099,419,879,290.06/687,175.50
  6. Step 6: Final answer
    x = 1,599,911.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.