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Finding the Third Proportional to 297,910 and 638,464

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Solution

The third proportional to 297,910 and 638,464 is: 1,368,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,910 : 638,464 = 638,464 : x
  2. Step 2: Convert to fraction form
    297,910/638,464 = 638,464/x
  3. Step 3: Cross multiply
    297,910x = 638,464 × 638,464
  4. Step 4: Simplify right side
    297,910x = 407,636,279,296
  5. Step 5: Solve for x
    x = 407,636,279,296/297,910
  6. Step 6: Final answer
    x = 1,368,320.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.