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Finding the Third Proportional to 485,585 and 761,741

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Solution

The third proportional to 485,585 and 761,741 is: 1,194,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,585 : 761,741 = 761,741 : x
  2. Step 2: Convert to fraction form
    485,585/761,741 = 761,741/x
  3. Step 3: Cross multiply
    485,585x = 761,741 × 761,741
  4. Step 4: Simplify right side
    485,585x = 580,249,351,081
  5. Step 5: Solve for x
    x = 580,249,351,081/485,585
  6. Step 6: Final answer
    x = 1,194,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.