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Finding the Third Proportional to 338,542.88 and 514,463.06

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Solution

The third proportional to 338,542.88 and 514,463.06 is: 781,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,542.88 : 514,463.06 = 514,463.06 : x
  2. Step 2: Convert to fraction form
    338,542.88/514,463.06 = 514,463.06/x
  3. Step 3: Cross multiply
    338,542.88x = 514,463.06 × 514,463.06
  4. Step 4: Simplify right side
    338,542.88x = 264,672,242,676.88
  5. Step 5: Solve for x
    x = 264,672,242,676.88/338,542.88
  6. Step 6: Final answer
    x = 781,798.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.