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Finding the Third Proportional to 366,872 and 803,223

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Solution

The third proportional to 366,872 and 803,223 is: 1,758,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,872 : 803,223 = 803,223 : x
  2. Step 2: Convert to fraction form
    366,872/803,223 = 803,223/x
  3. Step 3: Cross multiply
    366,872x = 803,223 × 803,223
  4. Step 4: Simplify right side
    366,872x = 645,167,187,729
  5. Step 5: Solve for x
    x = 645,167,187,729/366,872
  6. Step 6: Final answer
    x = 1,758,562.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.