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Finding the Third Proportional to 356,872.50 and 484,443

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Solution

The third proportional to 356,872.50 and 484,443 is: 657,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,872.50 : 484,443 = 484,443 : x
  2. Step 2: Convert to fraction form
    356,872.50/484,443 = 484,443/x
  3. Step 3: Cross multiply
    356,872.50x = 484,443 × 484,443
  4. Step 4: Simplify right side
    356,872.50x = 234,685,020,249
  5. Step 5: Solve for x
    x = 234,685,020,249/356,872.50
  6. Step 6: Final answer
    x = 657,615.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.