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Finding the Third Proportional to 413,184 and 638,457

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Solution

The third proportional to 413,184 and 638,457 is: 986,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,184 : 638,457 = 638,457 : x
  2. Step 2: Convert to fraction form
    413,184/638,457 = 638,457/x
  3. Step 3: Cross multiply
    413,184x = 638,457 × 638,457
  4. Step 4: Simplify right side
    413,184x = 407,627,340,849
  5. Step 5: Solve for x
    x = 407,627,340,849/413,184
  6. Step 6: Final answer
    x = 986,551.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.