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Finding the Third Proportional to 406,252 and 838,280

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Solution

The third proportional to 406,252 and 838,280 is: 1,729,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,252 : 838,280 = 838,280 : x
  2. Step 2: Convert to fraction form
    406,252/838,280 = 838,280/x
  3. Step 3: Cross multiply
    406,252x = 838,280 × 838,280
  4. Step 4: Simplify right side
    406,252x = 702,713,358,400
  5. Step 5: Solve for x
    x = 702,713,358,400/406,252
  6. Step 6: Final answer
    x = 1,729,747.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.