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Finding the Third Proportional to 482,866 and 764,426

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Solution

The third proportional to 482,866 and 764,426 is: 1,210,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,866 : 764,426 = 764,426 : x
  2. Step 2: Convert to fraction form
    482,866/764,426 = 764,426/x
  3. Step 3: Cross multiply
    482,866x = 764,426 × 764,426
  4. Step 4: Simplify right side
    482,866x = 584,347,109,476
  5. Step 5: Solve for x
    x = 584,347,109,476/482,866
  6. Step 6: Final answer
    x = 1,210,164.12

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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.