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Finding the Third Proportional to 532,886 and 797,707

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Solution

The third proportional to 532,886 and 797,707 is: 1,194,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,886 : 797,707 = 797,707 : x
  2. Step 2: Convert to fraction form
    532,886/797,707 = 797,707/x
  3. Step 3: Cross multiply
    532,886x = 797,707 × 797,707
  4. Step 4: Simplify right side
    532,886x = 636,336,457,849
  5. Step 5: Solve for x
    x = 636,336,457,849/532,886
  6. Step 6: Final answer
    x = 1,194,132.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.