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Finding the Third Proportional to 362,650.88 and 559,200.38

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Solution

The third proportional to 362,650.88 and 559,200.38 is: 862,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,650.88 : 559,200.38 = 559,200.38 : x
  2. Step 2: Convert to fraction form
    362,650.88/559,200.38 = 559,200.38/x
  3. Step 3: Cross multiply
    362,650.88x = 559,200.38 × 559,200.38
  4. Step 4: Simplify right side
    362,650.88x = 312,705,059,400.14
  5. Step 5: Solve for x
    x = 312,705,059,400.14/362,650.88
  6. Step 6: Final answer
    x = 862,275.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.