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Finding the Third Proportional to 560,695.50 and 838,721.25

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Solution

The third proportional to 560,695.50 and 838,721.25 is: 1,254,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,695.50 : 838,721.25 = 838,721.25 : x
  2. Step 2: Convert to fraction form
    560,695.50/838,721.25 = 838,721.25/x
  3. Step 3: Cross multiply
    560,695.50x = 838,721.25 × 838,721.25
  4. Step 4: Simplify right side
    560,695.50x = 703,453,335,201.56
  5. Step 5: Solve for x
    x = 703,453,335,201.56/560,695.50
  6. Step 6: Final answer
    x = 1,254,608.49

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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.