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Finding the Third Proportional to 487,746.56 and 750,642.19

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Solution

The third proportional to 487,746.56 and 750,642.19 is: 1,155,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,746.56 : 750,642.19 = 750,642.19 : x
  2. Step 2: Convert to fraction form
    487,746.56/750,642.19 = 750,642.19/x
  3. Step 3: Cross multiply
    487,746.56x = 750,642.19 × 750,642.19
  4. Step 4: Simplify right side
    487,746.56x = 563,463,693,654.79
  5. Step 5: Solve for x
    x = 563,463,693,654.79/487,746.56
  6. Step 6: Final answer
    x = 1,155,238.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.