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Finding the Third Proportional to 250,706 and 547,492

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Solution

The third proportional to 250,706 and 547,492 is: 1,195,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,706 : 547,492 = 547,492 : x
  2. Step 2: Convert to fraction form
    250,706/547,492 = 547,492/x
  3. Step 3: Cross multiply
    250,706x = 547,492 × 547,492
  4. Step 4: Simplify right side
    250,706x = 299,747,490,064
  5. Step 5: Solve for x
    x = 299,747,490,064/250,706
  6. Step 6: Final answer
    x = 1,195,613.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.