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Finding the Third Proportional to 308,522 and 466,069

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Solution

The third proportional to 308,522 and 466,069 is: 704,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,522 : 466,069 = 466,069 : x
  2. Step 2: Convert to fraction form
    308,522/466,069 = 466,069/x
  3. Step 3: Cross multiply
    308,522x = 466,069 × 466,069
  4. Step 4: Simplify right side
    308,522x = 217,220,312,761
  5. Step 5: Solve for x
    x = 217,220,312,761/308,522
  6. Step 6: Final answer
    x = 704,067.50

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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.