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Finding the Third Proportional to 254,534 and 502,640

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Solution

The third proportional to 254,534 and 502,640 is: 992,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,534 : 502,640 = 502,640 : x
  2. Step 2: Convert to fraction form
    254,534/502,640 = 502,640/x
  3. Step 3: Cross multiply
    254,534x = 502,640 × 502,640
  4. Step 4: Simplify right side
    254,534x = 252,646,969,600
  5. Step 5: Solve for x
    x = 252,646,969,600/254,534
  6. Step 6: Final answer
    x = 992,586.33

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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.