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Finding the Third Proportional to 402,924 and 847,320

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Solution

The third proportional to 402,924 and 847,320 is: 1,781,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,924 : 847,320 = 847,320 : x
  2. Step 2: Convert to fraction form
    402,924/847,320 = 847,320/x
  3. Step 3: Cross multiply
    402,924x = 847,320 × 847,320
  4. Step 4: Simplify right side
    402,924x = 717,951,182,400
  5. Step 5: Solve for x
    x = 717,951,182,400/402,924
  6. Step 6: Final answer
    x = 1,781,852.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.