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Finding the Third Proportional to 482,864 and 764,423

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Solution

The third proportional to 482,864 and 764,423 is: 1,210,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,864 : 764,423 = 764,423 : x
  2. Step 2: Convert to fraction form
    482,864/764,423 = 764,423/x
  3. Step 3: Cross multiply
    482,864x = 764,423 × 764,423
  4. Step 4: Simplify right side
    482,864x = 584,342,522,929
  5. Step 5: Solve for x
    x = 584,342,522,929/482,864
  6. Step 6: Final answer
    x = 1,210,159.64

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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.