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Finding the Third Proportional to 241,719.47 and 512,253.28

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Solution

The third proportional to 241,719.47 and 512,253.28 is: 1,085,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,719.47 : 512,253.28 = 512,253.28 : x
  2. Step 2: Convert to fraction form
    241,719.47/512,253.28 = 512,253.28/x
  3. Step 3: Cross multiply
    241,719.47x = 512,253.28 × 512,253.28
  4. Step 4: Simplify right side
    241,719.47x = 262,403,424,151.39
  5. Step 5: Solve for x
    x = 262,403,424,151.39/241,719.47
  6. Step 6: Final answer
    x = 1,085,570.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.