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Finding the Third Proportional to 374,098.50 and 548,029.13

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Solution

The third proportional to 374,098.50 and 548,029.13 is: 802,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,098.50 : 548,029.13 = 548,029.13 : x
  2. Step 2: Convert to fraction form
    374,098.50/548,029.13 = 548,029.13/x
  3. Step 3: Cross multiply
    374,098.50x = 548,029.13 × 548,029.13
  4. Step 4: Simplify right side
    374,098.50x = 300,335,921,848.27
  5. Step 5: Solve for x
    x = 300,335,921,848.27/374,098.50
  6. Step 6: Final answer
    x = 802,825.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.