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Finding the Third Proportional to 254,240 and 502,088

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Solution

The third proportional to 254,240 and 502,088 is: 991,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,240 : 502,088 = 502,088 : x
  2. Step 2: Convert to fraction form
    254,240/502,088 = 502,088/x
  3. Step 3: Cross multiply
    254,240x = 502,088 × 502,088
  4. Step 4: Simplify right side
    254,240x = 252,092,359,744
  5. Step 5: Solve for x
    x = 252,092,359,744/254,240
  6. Step 6: Final answer
    x = 991,552.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.