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Finding the Third Proportional to 369,700.88 and 595,213.31

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Solution

The third proportional to 369,700.88 and 595,213.31 is: 958,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,700.88 : 595,213.31 = 595,213.31 : x
  2. Step 2: Convert to fraction form
    369,700.88/595,213.31 = 595,213.31/x
  3. Step 3: Cross multiply
    369,700.88x = 595,213.31 × 595,213.31
  4. Step 4: Simplify right side
    369,700.88x = 354,278,887,377.22
  5. Step 5: Solve for x
    x = 354,278,887,377.22/369,700.88
  6. Step 6: Final answer
    x = 958,285.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.