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Finding the Third Proportional to 279,712 and 430,187

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Solution

The third proportional to 279,712 and 430,187 is: 661,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,712 : 430,187 = 430,187 : x
  2. Step 2: Convert to fraction form
    279,712/430,187 = 430,187/x
  3. Step 3: Cross multiply
    279,712x = 430,187 × 430,187
  4. Step 4: Simplify right side
    279,712x = 185,060,854,969
  5. Step 5: Solve for x
    x = 185,060,854,969/279,712
  6. Step 6: Final answer
    x = 661,612.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.