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Finding the Third Proportional to 349,741.13 and 766,071

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Solution

The third proportional to 349,741.13 and 766,071 is: 1,677,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,741.13 : 766,071 = 766,071 : x
  2. Step 2: Convert to fraction form
    349,741.13/766,071 = 766,071/x
  3. Step 3: Cross multiply
    349,741.13x = 766,071 × 766,071
  4. Step 4: Simplify right side
    349,741.13x = 586,864,777,041
  5. Step 5: Solve for x
    x = 586,864,777,041/349,741.13
  6. Step 6: Final answer
    x = 1,677,997.62

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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.