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Finding the Third Proportional to 373,082 and 814,461

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Solution

The third proportional to 373,082 and 814,461 is: 1,778,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,082 : 814,461 = 814,461 : x
  2. Step 2: Convert to fraction form
    373,082/814,461 = 814,461/x
  3. Step 3: Cross multiply
    373,082x = 814,461 × 814,461
  4. Step 4: Simplify right side
    373,082x = 663,346,720,521
  5. Step 5: Solve for x
    x = 663,346,720,521/373,082
  6. Step 6: Final answer
    x = 1,778,018.56

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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.