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Finding the Third Proportional to 294,393 and 466,917

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Solution

The third proportional to 294,393 and 466,917 is: 740,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,393 : 466,917 = 466,917 : x
  2. Step 2: Convert to fraction form
    294,393/466,917 = 466,917/x
  3. Step 3: Cross multiply
    294,393x = 466,917 × 466,917
  4. Step 4: Simplify right side
    294,393x = 218,011,484,889
  5. Step 5: Solve for x
    x = 218,011,484,889/294,393
  6. Step 6: Final answer
    x = 740,545.75

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