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Finding the Third Proportional to 251,306 and 537,370

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Solution

The third proportional to 251,306 and 537,370 is: 1,149,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,306 : 537,370 = 537,370 : x
  2. Step 2: Convert to fraction form
    251,306/537,370 = 537,370/x
  3. Step 3: Cross multiply
    251,306x = 537,370 × 537,370
  4. Step 4: Simplify right side
    251,306x = 288,766,516,900
  5. Step 5: Solve for x
    x = 288,766,516,900/251,306
  6. Step 6: Final answer
    x = 1,149,063.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.