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Finding the Third Proportional to 559,760.63 and 838,761.75

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Solution

The third proportional to 559,760.63 and 838,761.75 is: 1,256,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,760.63 : 838,761.75 = 838,761.75 : x
  2. Step 2: Convert to fraction form
    559,760.63/838,761.75 = 838,761.75/x
  3. Step 3: Cross multiply
    559,760.63x = 838,761.75 × 838,761.75
  4. Step 4: Simplify right side
    559,760.63x = 703,521,273,263.06
  5. Step 5: Solve for x
    x = 703,521,273,263.06/559,760.63
  6. Step 6: Final answer
    x = 1,256,825.22

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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.