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Finding the Third Proportional to 229,376.81 and 539,678.81

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Solution

The third proportional to 229,376.81 and 539,678.81 is: 1,269,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376.81 : 539,678.81 = 539,678.81 : x
  2. Step 2: Convert to fraction form
    229,376.81/539,678.81 = 539,678.81/x
  3. Step 3: Cross multiply
    229,376.81x = 539,678.81 × 539,678.81
  4. Step 4: Simplify right side
    229,376.81x = 291,253,220,661.41
  5. Step 5: Solve for x
    x = 291,253,220,661.41/229,376.81
  6. Step 6: Final answer
    x = 1,269,758.78

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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.