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Finding the Third Proportional to 366,869 and 803,217

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Solution

The third proportional to 366,869 and 803,217 is: 1,758,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,869 : 803,217 = 803,217 : x
  2. Step 2: Convert to fraction form
    366,869/803,217 = 803,217/x
  3. Step 3: Cross multiply
    366,869x = 803,217 × 803,217
  4. Step 4: Simplify right side
    366,869x = 645,157,549,089
  5. Step 5: Solve for x
    x = 645,157,549,089/366,869
  6. Step 6: Final answer
    x = 1,758,550.19

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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.