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Finding the Third Proportional to 413,186 and 638,464

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Solution

The third proportional to 413,186 and 638,464 is: 986,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,186 : 638,464 = 638,464 : x
  2. Step 2: Convert to fraction form
    413,186/638,464 = 638,464/x
  3. Step 3: Cross multiply
    413,186x = 638,464 × 638,464
  4. Step 4: Simplify right side
    413,186x = 407,636,279,296
  5. Step 5: Solve for x
    x = 407,636,279,296/413,186
  6. Step 6: Final answer
    x = 986,568.47

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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.