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Finding the Third Proportional to 350,337.66 and 766,103.06

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Solution

The third proportional to 350,337.66 and 766,103.06 is: 1,675,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,337.66 : 766,103.06 = 766,103.06 : x
  2. Step 2: Convert to fraction form
    350,337.66/766,103.06 = 766,103.06/x
  3. Step 3: Cross multiply
    350,337.66x = 766,103.06 × 766,103.06
  4. Step 4: Simplify right side
    350,337.66x = 586,913,902,371.88
  5. Step 5: Solve for x
    x = 586,913,902,371.88/350,337.66
  6. Step 6: Final answer
    x = 1,675,280.67

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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.