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Finding the Third Proportional to 365,968.13 and 547,008.19

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Solution

The third proportional to 365,968.13 and 547,008.19 is: 817,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,968.13 : 547,008.19 = 547,008.19 : x
  2. Step 2: Convert to fraction form
    365,968.13/547,008.19 = 547,008.19/x
  3. Step 3: Cross multiply
    365,968.13x = 547,008.19 × 547,008.19
  4. Step 4: Simplify right side
    365,968.13x = 299,217,957,192.04
  5. Step 5: Solve for x
    x = 299,217,957,192.04/365,968.13
  6. Step 6: Final answer
    x = 817,606.61

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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.