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Finding the Third Proportional to 526,531.50 and 814,905

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Solution

The third proportional to 526,531.50 and 814,905 is: 1,261,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,531.50 : 814,905 = 814,905 : x
  2. Step 2: Convert to fraction form
    526,531.50/814,905 = 814,905/x
  3. Step 3: Cross multiply
    526,531.50x = 814,905 × 814,905
  4. Step 4: Simplify right side
    526,531.50x = 664,070,159,025
  5. Step 5: Solve for x
    x = 664,070,159,025/526,531.50
  6. Step 6: Final answer
    x = 1,261,216.39

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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.