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Finding the Third Proportional to 291,217 and 636,314

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Solution

The third proportional to 291,217 and 636,314 is: 1,390,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,217 : 636,314 = 636,314 : x
  2. Step 2: Convert to fraction form
    291,217/636,314 = 636,314/x
  3. Step 3: Cross multiply
    291,217x = 636,314 × 636,314
  4. Step 4: Simplify right side
    291,217x = 404,895,506,596
  5. Step 5: Solve for x
    x = 404,895,506,596/291,217
  6. Step 6: Final answer
    x = 1,390,356.70

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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.