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Finding the Third Proportional to 497,615.25 and 750,534

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Solution

The third proportional to 497,615.25 and 750,534 is: 1,132,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,615.25 : 750,534 = 750,534 : x
  2. Step 2: Convert to fraction form
    497,615.25/750,534 = 750,534/x
  3. Step 3: Cross multiply
    497,615.25x = 750,534 × 750,534
  4. Step 4: Simplify right side
    497,615.25x = 563,301,285,156
  5. Step 5: Solve for x
    x = 563,301,285,156/497,615.25
  6. Step 6: Final answer
    x = 1,132,001.65

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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.