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Finding the Third Proportional to 357,658 and 773,394

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Solution

The third proportional to 357,658 and 773,394 is: 1,672,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,658 : 773,394 = 773,394 : x
  2. Step 2: Convert to fraction form
    357,658/773,394 = 773,394/x
  3. Step 3: Cross multiply
    357,658x = 773,394 × 773,394
  4. Step 4: Simplify right side
    357,658x = 598,138,279,236
  5. Step 5: Solve for x
    x = 598,138,279,236/357,658
  6. Step 6: Final answer
    x = 1,672,374.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.