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Finding the Third Proportional to 466,730 and 704,371

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Solution

The third proportional to 466,730 and 704,371 is: 1,063,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,730 : 704,371 = 704,371 : x
  2. Step 2: Convert to fraction form
    466,730/704,371 = 704,371/x
  3. Step 3: Cross multiply
    466,730x = 704,371 × 704,371
  4. Step 4: Simplify right side
    466,730x = 496,138,505,641
  5. Step 5: Solve for x
    x = 496,138,505,641/466,730
  6. Step 6: Final answer
    x = 1,063,009.68

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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.