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Finding the Third Proportional to 353,184 and 766,592

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Solution

The third proportional to 353,184 and 766,592 is: 1,663,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,184 : 766,592 = 766,592 : x
  2. Step 2: Convert to fraction form
    353,184/766,592 = 766,592/x
  3. Step 3: Cross multiply
    353,184x = 766,592 × 766,592
  4. Step 4: Simplify right side
    353,184x = 587,663,294,464
  5. Step 5: Solve for x
    x = 587,663,294,464/353,184
  6. Step 6: Final answer
    x = 1,663,901.24

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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.