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Finding the Third Proportional to 272,492 and 425,294

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Solution

The third proportional to 272,492 and 425,294 is: 663,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,492 : 425,294 = 425,294 : x
  2. Step 2: Convert to fraction form
    272,492/425,294 = 425,294/x
  3. Step 3: Cross multiply
    272,492x = 425,294 × 425,294
  4. Step 4: Simplify right side
    272,492x = 180,874,986,436
  5. Step 5: Solve for x
    x = 180,874,986,436/272,492
  6. Step 6: Final answer
    x = 663,780.91

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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.