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Finding the Third Proportional to 656,103 and 838,354.50

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Solution

The third proportional to 656,103 and 838,354.50 is: 1,071,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,103 : 838,354.50 = 838,354.50 : x
  2. Step 2: Convert to fraction form
    656,103/838,354.50 = 838,354.50/x
  3. Step 3: Cross multiply
    656,103x = 838,354.50 × 838,354.50
  4. Step 4: Simplify right side
    656,103x = 702,838,267,670.25
  5. Step 5: Solve for x
    x = 702,838,267,670.25/656,103
  6. Step 6: Final answer
    x = 1,071,231.60

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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.