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Finding the Third Proportional to 267,705 and 392,616

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Solution

The third proportional to 267,705 and 392,616 is: 575,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,705 : 392,616 = 392,616 : x
  2. Step 2: Convert to fraction form
    267,705/392,616 = 392,616/x
  3. Step 3: Cross multiply
    267,705x = 392,616 × 392,616
  4. Step 4: Simplify right side
    267,705x = 154,147,323,456
  5. Step 5: Solve for x
    x = 154,147,323,456/267,705
  6. Step 6: Final answer
    x = 575,810.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.