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Finding the Third Proportional to 296,695 and 471,711

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Solution

The third proportional to 296,695 and 471,711 is: 749,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,695 : 471,711 = 471,711 : x
  2. Step 2: Convert to fraction form
    296,695/471,711 = 471,711/x
  3. Step 3: Cross multiply
    296,695x = 471,711 × 471,711
  4. Step 4: Simplify right side
    296,695x = 222,511,267,521
  5. Step 5: Solve for x
    x = 222,511,267,521/296,695
  6. Step 6: Final answer
    x = 749,966.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.