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Finding the Third Proportional to 252,492 and 544,344

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Solution

The third proportional to 252,492 and 544,344 is: 1,173,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,492 : 544,344 = 544,344 : x
  2. Step 2: Convert to fraction form
    252,492/544,344 = 544,344/x
  3. Step 3: Cross multiply
    252,492x = 544,344 × 544,344
  4. Step 4: Simplify right side
    252,492x = 296,310,390,336
  5. Step 5: Solve for x
    x = 296,310,390,336/252,492
  6. Step 6: Final answer
    x = 1,173,543.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.