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Finding the Third Proportional to 267,718 and 392,640

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Solution

The third proportional to 267,718 and 392,640 is: 575,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,718 : 392,640 = 392,640 : x
  2. Step 2: Convert to fraction form
    267,718/392,640 = 392,640/x
  3. Step 3: Cross multiply
    267,718x = 392,640 × 392,640
  4. Step 4: Simplify right side
    267,718x = 154,166,169,600
  5. Step 5: Solve for x
    x = 154,166,169,600/267,718
  6. Step 6: Final answer
    x = 575,852.84

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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.