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Finding the Third Proportional to 306,864 and 466,704

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Solution

The third proportional to 306,864 and 466,704 is: 709,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,864 : 466,704 = 466,704 : x
  2. Step 2: Convert to fraction form
    306,864/466,704 = 466,704/x
  3. Step 3: Cross multiply
    306,864x = 466,704 × 466,704
  4. Step 4: Simplify right side
    306,864x = 217,812,623,616
  5. Step 5: Solve for x
    x = 217,812,623,616/306,864
  6. Step 6: Final answer
    x = 709,801.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.