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Finding the Third Proportional to 234,077.34 and 552,228.89

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Solution

The third proportional to 234,077.34 and 552,228.89 is: 1,302,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,077.34 : 552,228.89 = 552,228.89 : x
  2. Step 2: Convert to fraction form
    234,077.34/552,228.89 = 552,228.89/x
  3. Step 3: Cross multiply
    234,077.34x = 552,228.89 × 552,228.89
  4. Step 4: Simplify right side
    234,077.34x = 304,956,747,640.92
  5. Step 5: Solve for x
    x = 304,956,747,640.92/234,077.34
  6. Step 6: Final answer
    x = 1,302,803.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.