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Finding the Third Proportional to 375,918 and 814,164

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Solution

The third proportional to 375,918 and 814,164 is: 1,763,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918 : 814,164 = 814,164 : x
  2. Step 2: Convert to fraction form
    375,918/814,164 = 814,164/x
  3. Step 3: Cross multiply
    375,918x = 814,164 × 814,164
  4. Step 4: Simplify right side
    375,918x = 662,863,018,896
  5. Step 5: Solve for x
    x = 662,863,018,896/375,918
  6. Step 6: Final answer
    x = 1,763,318.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.