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Finding the Third Proportional to 353,597 and 763,678

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Solution

The third proportional to 353,597 and 763,678 is: 1,649,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,597 : 763,678 = 763,678 : x
  2. Step 2: Convert to fraction form
    353,597/763,678 = 763,678/x
  3. Step 3: Cross multiply
    353,597x = 763,678 × 763,678
  4. Step 4: Simplify right side
    353,597x = 583,204,087,684
  5. Step 5: Solve for x
    x = 583,204,087,684/353,597
  6. Step 6: Final answer
    x = 1,649,346.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.