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Finding the Third Proportional to 532,378 and 797,746

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Solution

The third proportional to 532,378 and 797,746 is: 1,195,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,378 : 797,746 = 797,746 : x
  2. Step 2: Convert to fraction form
    532,378/797,746 = 797,746/x
  3. Step 3: Cross multiply
    532,378x = 797,746 × 797,746
  4. Step 4: Simplify right side
    532,378x = 636,398,680,516
  5. Step 5: Solve for x
    x = 636,398,680,516/532,378
  6. Step 6: Final answer
    x = 1,195,388.77

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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.