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Finding the Third Proportional to 466,680 and 704,292

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Solution

The third proportional to 466,680 and 704,292 is: 1,062,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,680 : 704,292 = 704,292 : x
  2. Step 2: Convert to fraction form
    466,680/704,292 = 704,292/x
  3. Step 3: Cross multiply
    466,680x = 704,292 × 704,292
  4. Step 4: Simplify right side
    466,680x = 496,027,221,264
  5. Step 5: Solve for x
    x = 496,027,221,264/466,680
  6. Step 6: Final answer
    x = 1,062,885.11

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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.