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Finding the Third Proportional to 254,552.63 and 502,680.38

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Solution

The third proportional to 254,552.63 and 502,680.38 is: 992,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,552.63 : 502,680.38 = 502,680.38 : x
  2. Step 2: Convert to fraction form
    254,552.63/502,680.38 = 502,680.38/x
  3. Step 3: Cross multiply
    254,552.63x = 502,680.38 × 502,680.38
  4. Step 4: Simplify right side
    254,552.63x = 252,687,559,410.14
  5. Step 5: Solve for x
    x = 252,687,559,410.14/254,552.63
  6. Step 6: Final answer
    x = 992,673.16

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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.