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Finding the Third Proportional to 295,225 and 469,988

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Solution

The third proportional to 295,225 and 469,988 is: 748,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,225 : 469,988 = 469,988 : x
  2. Step 2: Convert to fraction form
    295,225/469,988 = 469,988/x
  3. Step 3: Cross multiply
    295,225x = 469,988 × 469,988
  4. Step 4: Simplify right side
    295,225x = 220,888,720,144
  5. Step 5: Solve for x
    x = 220,888,720,144/295,225
  6. Step 6: Final answer
    x = 748,204.66

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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.