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Finding the Third Proportional to 492,534 and 748,732.50

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Solution

The third proportional to 492,534 and 748,732.50 is: 1,138,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,534 : 748,732.50 = 748,732.50 : x
  2. Step 2: Convert to fraction form
    492,534/748,732.50 = 748,732.50/x
  3. Step 3: Cross multiply
    492,534x = 748,732.50 × 748,732.50
  4. Step 4: Simplify right side
    492,534x = 560,600,356,556.25
  5. Step 5: Solve for x
    x = 560,600,356,556.25/492,534
  6. Step 6: Final answer
    x = 1,138,196.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.