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Finding the Third Proportional to 295,231 and 469,997

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Solution

The third proportional to 295,231 and 469,997 is: 748,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,231 : 469,997 = 469,997 : x
  2. Step 2: Convert to fraction form
    295,231/469,997 = 469,997/x
  3. Step 3: Cross multiply
    295,231x = 469,997 × 469,997
  4. Step 4: Simplify right side
    295,231x = 220,897,180,009
  5. Step 5: Solve for x
    x = 220,897,180,009/295,231
  6. Step 6: Final answer
    x = 748,218.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.