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Finding the Third Proportional to 382,287.94 and 607,332.94

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Solution

The third proportional to 382,287.94 and 607,332.94 is: 964,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,287.94 : 607,332.94 = 607,332.94 : x
  2. Step 2: Convert to fraction form
    382,287.94/607,332.94 = 607,332.94/x
  3. Step 3: Cross multiply
    382,287.94x = 607,332.94 × 607,332.94
  4. Step 4: Simplify right side
    382,287.94x = 368,853,296,972.38
  5. Step 5: Solve for x
    x = 368,853,296,972.38/382,287.94
  6. Step 6: Final answer
    x = 964,857.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.