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Finding the Third Proportional to 250,672 and 542,888

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Solution

The third proportional to 250,672 and 542,888 is: 1,175,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,672 : 542,888 = 542,888 : x
  2. Step 2: Convert to fraction form
    250,672/542,888 = 542,888/x
  3. Step 3: Cross multiply
    250,672x = 542,888 × 542,888
  4. Step 4: Simplify right side
    250,672x = 294,727,380,544
  5. Step 5: Solve for x
    x = 294,727,380,544/250,672
  6. Step 6: Final answer
    x = 1,175,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.