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Finding the Third Proportional to 349,814 and 741,666

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Solution

The third proportional to 349,814 and 741,666 is: 1,572,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,814 : 741,666 = 741,666 : x
  2. Step 2: Convert to fraction form
    349,814/741,666 = 741,666/x
  3. Step 3: Cross multiply
    349,814x = 741,666 × 741,666
  4. Step 4: Simplify right side
    349,814x = 550,068,455,556
  5. Step 5: Solve for x
    x = 550,068,455,556/349,814
  6. Step 6: Final answer
    x = 1,572,459.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.