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Finding the Third Proportional to 252,492 and 392,754

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Solution

The third proportional to 252,492 and 392,754 is: 610,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,492 : 392,754 = 392,754 : x
  2. Step 2: Convert to fraction form
    252,492/392,754 = 392,754/x
  3. Step 3: Cross multiply
    252,492x = 392,754 × 392,754
  4. Step 4: Simplify right side
    252,492x = 154,255,704,516
  5. Step 5: Solve for x
    x = 154,255,704,516/252,492
  6. Step 6: Final answer
    x = 610,933.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.