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Finding the Third Proportional to 353,147.75 and 766,498

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Solution

The third proportional to 353,147.75 and 766,498 is: 1,663,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,147.75 : 766,498 = 766,498 : x
  2. Step 2: Convert to fraction form
    353,147.75/766,498 = 766,498/x
  3. Step 3: Cross multiply
    353,147.75x = 766,498 × 766,498
  4. Step 4: Simplify right side
    353,147.75x = 587,519,184,004
  5. Step 5: Solve for x
    x = 587,519,184,004/353,147.75
  6. Step 6: Final answer
    x = 1,663,663.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.