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Finding the Third Proportional to 375,624 and 814,941

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Solution

The third proportional to 375,624 and 814,941 is: 1,768,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,624 : 814,941 = 814,941 : x
  2. Step 2: Convert to fraction form
    375,624/814,941 = 814,941/x
  3. Step 3: Cross multiply
    375,624x = 814,941 × 814,941
  4. Step 4: Simplify right side
    375,624x = 664,128,833,481
  5. Step 5: Solve for x
    x = 664,128,833,481/375,624
  6. Step 6: Final answer
    x = 1,768,068.16

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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.