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Finding the Third Proportional to 482,865 and 764,424

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Solution

The third proportional to 482,865 and 764,424 is: 1,210,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,865 : 764,424 = 764,424 : x
  2. Step 2: Convert to fraction form
    482,865/764,424 = 764,424/x
  3. Step 3: Cross multiply
    482,865x = 764,424 × 764,424
  4. Step 4: Simplify right side
    482,865x = 584,344,051,776
  5. Step 5: Solve for x
    x = 584,344,051,776/482,865
  6. Step 6: Final answer
    x = 1,210,160.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.