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Finding the Third Proportional to 231,768 and 478,426.50

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Solution

The third proportional to 231,768 and 478,426.50 is: 987,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,768 : 478,426.50 = 478,426.50 : x
  2. Step 2: Convert to fraction form
    231,768/478,426.50 = 478,426.50/x
  3. Step 3: Cross multiply
    231,768x = 478,426.50 × 478,426.50
  4. Step 4: Simplify right side
    231,768x = 228,891,915,902.25
  5. Step 5: Solve for x
    x = 228,891,915,902.25/231,768
  6. Step 6: Final answer
    x = 987,590.68

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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.