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Finding the Third Proportional to 569,702.25 and 881,847

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Solution

The third proportional to 569,702.25 and 881,847 is: 1,365,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,702.25 : 881,847 = 881,847 : x
  2. Step 2: Convert to fraction form
    569,702.25/881,847 = 881,847/x
  3. Step 3: Cross multiply
    569,702.25x = 881,847 × 881,847
  4. Step 4: Simplify right side
    569,702.25x = 777,654,131,409
  5. Step 5: Solve for x
    x = 777,654,131,409/569,702.25
  6. Step 6: Final answer
    x = 1,365,018.54

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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.