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Finding the Third Proportional to 369,716.63 and 595,234.69

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Solution

The third proportional to 369,716.63 and 595,234.69 is: 958,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,716.63 : 595,234.69 = 595,234.69 : x
  2. Step 2: Convert to fraction form
    369,716.63/595,234.69 = 595,234.69/x
  3. Step 3: Cross multiply
    369,716.63x = 595,234.69 × 595,234.69
  4. Step 4: Simplify right side
    369,716.63x = 354,304,333,203.22
  5. Step 5: Solve for x
    x = 354,304,333,203.22/369,716.63
  6. Step 6: Final answer
    x = 958,313.23

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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.