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Finding the Third Proportional to 295,227 and 469,991

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Solution

The third proportional to 295,227 and 469,991 is: 748,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,227 : 469,991 = 469,991 : x
  2. Step 2: Convert to fraction form
    295,227/469,991 = 469,991/x
  3. Step 3: Cross multiply
    295,227x = 469,991 × 469,991
  4. Step 4: Simplify right side
    295,227x = 220,891,540,081
  5. Step 5: Solve for x
    x = 220,891,540,081/295,227
  6. Step 6: Final answer
    x = 748,209.14

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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.