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Finding the Third Proportional to 482,861 and 764,418

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Solution

The third proportional to 482,861 and 764,418 is: 1,210,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,861 : 764,418 = 764,418 : x
  2. Step 2: Convert to fraction form
    482,861/764,418 = 764,418/x
  3. Step 3: Cross multiply
    482,861x = 764,418 × 764,418
  4. Step 4: Simplify right side
    482,861x = 584,334,878,724
  5. Step 5: Solve for x
    x = 584,334,878,724/482,861
  6. Step 6: Final answer
    x = 1,210,151.32

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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.