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Finding the Third Proportional to 215,854 and 326,792

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Solution

The third proportional to 215,854 and 326,792 is: 494,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,854 : 326,792 = 326,792 : x
  2. Step 2: Convert to fraction form
    215,854/326,792 = 326,792/x
  3. Step 3: Cross multiply
    215,854x = 326,792 × 326,792
  4. Step 4: Simplify right side
    215,854x = 106,793,011,264
  5. Step 5: Solve for x
    x = 106,793,011,264/215,854
  6. Step 6: Final answer
    x = 494,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.