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Finding the Third Proportional to 476,272 and 646,820

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Solution

The third proportional to 476,272 and 646,820 is: 878,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,272 : 646,820 = 646,820 : x
  2. Step 2: Convert to fraction form
    476,272/646,820 = 646,820/x
  3. Step 3: Cross multiply
    476,272x = 646,820 × 646,820
  4. Step 4: Simplify right side
    476,272x = 418,376,112,400
  5. Step 5: Solve for x
    x = 418,376,112,400/476,272
  6. Step 6: Final answer
    x = 878,439.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.