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Finding the Third Proportional to 349,822.13 and 647,082

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Solution

The third proportional to 349,822.13 and 647,082 is: 1,196,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822.13 : 647,082 = 647,082 : x
  2. Step 2: Convert to fraction form
    349,822.13/647,082 = 647,082/x
  3. Step 3: Cross multiply
    349,822.13x = 647,082 × 647,082
  4. Step 4: Simplify right side
    349,822.13x = 418,715,114,724
  5. Step 5: Solve for x
    x = 418,715,114,724/349,822.13
  6. Step 6: Final answer
    x = 1,196,937.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.