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Finding the Third Proportional to 349,098 and 537,255

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Solution

The third proportional to 349,098 and 537,255 is: 826,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,098 : 537,255 = 537,255 : x
  2. Step 2: Convert to fraction form
    349,098/537,255 = 537,255/x
  3. Step 3: Cross multiply
    349,098x = 537,255 × 537,255
  4. Step 4: Simplify right side
    349,098x = 288,642,935,025
  5. Step 5: Solve for x
    x = 288,642,935,025/349,098
  6. Step 6: Final answer
    x = 826,824.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.