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Finding the Third Proportional to 349,972.50 and 541,359

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Solution

The third proportional to 349,972.50 and 541,359 is: 837,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,972.50 : 541,359 = 541,359 : x
  2. Step 2: Convert to fraction form
    349,972.50/541,359 = 541,359/x
  3. Step 3: Cross multiply
    349,972.50x = 541,359 × 541,359
  4. Step 4: Simplify right side
    349,972.50x = 293,069,566,881
  5. Step 5: Solve for x
    x = 293,069,566,881/349,972.50
  6. Step 6: Final answer
    x = 837,407.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.