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Finding the Third Proportional to 413,945.44 and 607,287.38

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Solution

The third proportional to 413,945.44 and 607,287.38 is: 890,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,945.44 : 607,287.38 = 607,287.38 : x
  2. Step 2: Convert to fraction form
    413,945.44/607,287.38 = 607,287.38/x
  3. Step 3: Cross multiply
    413,945.44x = 607,287.38 × 607,287.38
  4. Step 4: Simplify right side
    413,945.44x = 368,797,955,834.39
  5. Step 5: Solve for x
    x = 368,797,955,834.39/413,945.44
  6. Step 6: Final answer
    x = 890,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.