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Finding the Third Proportional to 342,001.13 and 762,643.13

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Solution

The third proportional to 342,001.13 and 762,643.13 is: 1,700,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.13 : 762,643.13 = 762,643.13 : x
  2. Step 2: Convert to fraction form
    342,001.13/762,643.13 = 762,643.13/x
  3. Step 3: Cross multiply
    342,001.13x = 762,643.13 × 762,643.13
  4. Step 4: Simplify right side
    342,001.13x = 581,624,536,109.77
  5. Step 5: Solve for x
    x = 581,624,536,109.77/342,001.13
  6. Step 6: Final answer
    x = 1,700,650.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.