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Finding the Third Proportional to 229,376.25 and 539,677.69

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Solution

The third proportional to 229,376.25 and 539,677.69 is: 1,269,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376.25 : 539,677.69 = 539,677.69 : x
  2. Step 2: Convert to fraction form
    229,376.25/539,677.69 = 539,677.69/x
  3. Step 3: Cross multiply
    229,376.25x = 539,677.69 × 539,677.69
  4. Step 4: Simplify right side
    229,376.25x = 291,252,006,385.35
  5. Step 5: Solve for x
    x = 291,252,006,385.35/229,376.25
  6. Step 6: Final answer
    x = 1,269,756.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.