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Finding the Third Proportional to 294,393 and 466,918

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Solution

The third proportional to 294,393 and 466,918 is: 740,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,393 : 466,918 = 466,918 : x
  2. Step 2: Convert to fraction form
    294,393/466,918 = 466,918/x
  3. Step 3: Cross multiply
    294,393x = 466,918 × 466,918
  4. Step 4: Simplify right side
    294,393x = 218,012,418,724
  5. Step 5: Solve for x
    x = 218,012,418,724/294,393
  6. Step 6: Final answer
    x = 740,548.92

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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.