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Finding the Third Proportional to 372,948 and 814,209

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Solution

The third proportional to 372,948 and 814,209 is: 1,777,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,948 : 814,209 = 814,209 : x
  2. Step 2: Convert to fraction form
    372,948/814,209 = 814,209/x
  3. Step 3: Cross multiply
    372,948x = 814,209 × 814,209
  4. Step 4: Simplify right side
    372,948x = 662,936,295,681
  5. Step 5: Solve for x
    x = 662,936,295,681/372,948
  6. Step 6: Final answer
    x = 1,777,556.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.