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Finding the Third Proportional to 257,064.19 and 557,031.38

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Solution

The third proportional to 257,064.19 and 557,031.38 is: 1,207,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,064.19 : 557,031.38 = 557,031.38 : x
  2. Step 2: Convert to fraction form
    257,064.19/557,031.38 = 557,031.38/x
  3. Step 3: Cross multiply
    257,064.19x = 557,031.38 × 557,031.38
  4. Step 4: Simplify right side
    257,064.19x = 310,283,952,734.39
  5. Step 5: Solve for x
    x = 310,283,952,734.39/257,064.19
  6. Step 6: Final answer
    x = 1,207,029.09

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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.