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Finding the Third Proportional to 447,770 and 752,007

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Solution

The third proportional to 447,770 and 752,007 is: 1,262,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,770 : 752,007 = 752,007 : x
  2. Step 2: Convert to fraction form
    447,770/752,007 = 752,007/x
  3. Step 3: Cross multiply
    447,770x = 752,007 × 752,007
  4. Step 4: Simplify right side
    447,770x = 565,514,528,049
  5. Step 5: Solve for x
    x = 565,514,528,049/447,770
  6. Step 6: Final answer
    x = 1,262,957.61

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.