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Finding the Third Proportional to 191,572 and 410,669

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Solution

The third proportional to 191,572 and 410,669 is: 880,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,572 : 410,669 = 410,669 : x
  2. Step 2: Convert to fraction form
    191,572/410,669 = 410,669/x
  3. Step 3: Cross multiply
    191,572x = 410,669 × 410,669
  4. Step 4: Simplify right side
    191,572x = 168,649,027,561
  5. Step 5: Solve for x
    x = 168,649,027,561/191,572
  6. Step 6: Final answer
    x = 880,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.