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Finding the Third Proportional to 294,384.38 and 466,902.56

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Solution

The third proportional to 294,384.38 and 466,902.56 is: 740,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,384.38 : 466,902.56 = 466,902.56 : x
  2. Step 2: Convert to fraction form
    294,384.38/466,902.56 = 466,902.56/x
  3. Step 3: Cross multiply
    294,384.38x = 466,902.56 × 466,902.56
  4. Step 4: Simplify right side
    294,384.38x = 217,998,002,869.07
  5. Step 5: Solve for x
    x = 217,998,002,869.07/294,384.38
  6. Step 6: Final answer
    x = 740,521.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.