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Finding the Third Proportional to 353,160 and 766,524

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Solution

The third proportional to 353,160 and 766,524 is: 1,663,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,160 : 766,524 = 766,524 : x
  2. Step 2: Convert to fraction form
    353,160/766,524 = 766,524/x
  3. Step 3: Cross multiply
    353,160x = 766,524 × 766,524
  4. Step 4: Simplify right side
    353,160x = 587,559,042,576
  5. Step 5: Solve for x
    x = 587,559,042,576/353,160
  6. Step 6: Final answer
    x = 1,663,719.11

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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.