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Finding the Third Proportional to 563,029.31 and 872,540.44

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Solution

The third proportional to 563,029.31 and 872,540.44 is: 1,352,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,029.31 : 872,540.44 = 872,540.44 : x
  2. Step 2: Convert to fraction form
    563,029.31/872,540.44 = 872,540.44/x
  3. Step 3: Cross multiply
    563,029.31x = 872,540.44 × 872,540.44
  4. Step 4: Simplify right side
    563,029.31x = 761,326,815,072.69
  5. Step 5: Solve for x
    x = 761,326,815,072.69/563,029.31
  6. Step 6: Final answer
    x = 1,352,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.