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Finding the Third Proportional to 366,832.50 and 546,864

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Solution

The third proportional to 366,832.50 and 546,864 is: 815,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,832.50 : 546,864 = 546,864 : x
  2. Step 2: Convert to fraction form
    366,832.50/546,864 = 546,864/x
  3. Step 3: Cross multiply
    366,832.50x = 546,864 × 546,864
  4. Step 4: Simplify right side
    366,832.50x = 299,060,234,496
  5. Step 5: Solve for x
    x = 299,060,234,496/366,832.50
  6. Step 6: Final answer
    x = 815,250.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.