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Finding the Third Proportional to 487,766 and 750,666

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Solution

The third proportional to 487,766 and 750,666 is: 1,155,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,766 : 750,666 = 750,666 : x
  2. Step 2: Convert to fraction form
    487,766/750,666 = 750,666/x
  3. Step 3: Cross multiply
    487,766x = 750,666 × 750,666
  4. Step 4: Simplify right side
    487,766x = 563,499,443,556
  5. Step 5: Solve for x
    x = 563,499,443,556/487,766
  6. Step 6: Final answer
    x = 1,155,265.93

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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.