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Finding the Third Proportional to 292,207.50 and 438,318.84

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Solution

The third proportional to 292,207.50 and 438,318.84 is: 657,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,207.50 : 438,318.84 = 438,318.84 : x
  2. Step 2: Convert to fraction form
    292,207.50/438,318.84 = 438,318.84/x
  3. Step 3: Cross multiply
    292,207.50x = 438,318.84 × 438,318.84
  4. Step 4: Simplify right side
    292,207.50x = 192,123,408,786.34
  5. Step 5: Solve for x
    x = 192,123,408,786.34/292,207.50
  6. Step 6: Final answer
    x = 657,489.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.