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Finding the Third Proportional to 431,104.50 and 652,617

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Solution

The third proportional to 431,104.50 and 652,617 is: 987,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,104.50 : 652,617 = 652,617 : x
  2. Step 2: Convert to fraction form
    431,104.50/652,617 = 652,617/x
  3. Step 3: Cross multiply
    431,104.50x = 652,617 × 652,617
  4. Step 4: Simplify right side
    431,104.50x = 425,908,948,689
  5. Step 5: Solve for x
    x = 425,908,948,689/431,104.50
  6. Step 6: Final answer
    x = 987,948.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.