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Finding the Third Proportional to 529,211.25 and 795,010.50

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Solution

The third proportional to 529,211.25 and 795,010.50 is: 1,194,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,211.25 : 795,010.50 = 795,010.50 : x
  2. Step 2: Convert to fraction form
    529,211.25/795,010.50 = 795,010.50/x
  3. Step 3: Cross multiply
    529,211.25x = 795,010.50 × 795,010.50
  4. Step 4: Simplify right side
    529,211.25x = 632,041,695,110.25
  5. Step 5: Solve for x
    x = 632,041,695,110.25/529,211.25
  6. Step 6: Final answer
    x = 1,194,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.