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Finding the Third Proportional to 542,936.25 and 860,422.50

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Solution

The third proportional to 542,936.25 and 860,422.50 is: 1,363,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,936.25 : 860,422.50 = 860,422.50 : x
  2. Step 2: Convert to fraction form
    542,936.25/860,422.50 = 860,422.50/x
  3. Step 3: Cross multiply
    542,936.25x = 860,422.50 × 860,422.50
  4. Step 4: Simplify right side
    542,936.25x = 740,326,878,506.25
  5. Step 5: Solve for x
    x = 740,326,878,506.25/542,936.25
  6. Step 6: Final answer
    x = 1,363,561.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.