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Finding the Third Proportional to 656,102 and 838,353

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Solution

The third proportional to 656,102 and 838,353 is: 1,071,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,102 : 838,353 = 838,353 : x
  2. Step 2: Convert to fraction form
    656,102/838,353 = 838,353/x
  3. Step 3: Cross multiply
    656,102x = 838,353 × 838,353
  4. Step 4: Simplify right side
    656,102x = 702,835,752,609
  5. Step 5: Solve for x
    x = 702,835,752,609/656,102
  6. Step 6: Final answer
    x = 1,071,229.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.