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Finding the Third Proportional to 349,560 and 765,814

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Solution

The third proportional to 349,560 and 765,814 is: 1,677,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,560 : 765,814 = 765,814 : x
  2. Step 2: Convert to fraction form
    349,560/765,814 = 765,814/x
  3. Step 3: Cross multiply
    349,560x = 765,814 × 765,814
  4. Step 4: Simplify right side
    349,560x = 586,471,082,596
  5. Step 5: Solve for x
    x = 586,471,082,596/349,560
  6. Step 6: Final answer
    x = 1,677,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.