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Finding the Third Proportional to 353,150 and 766,502

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Solution

The third proportional to 353,150 and 766,502 is: 1,663,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,150 : 766,502 = 766,502 : x
  2. Step 2: Convert to fraction form
    353,150/766,502 = 766,502/x
  3. Step 3: Cross multiply
    353,150x = 766,502 × 766,502
  4. Step 4: Simplify right side
    353,150x = 587,525,316,004
  5. Step 5: Solve for x
    x = 587,525,316,004/353,150
  6. Step 6: Final answer
    x = 1,663,670.72

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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.