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Finding the Third Proportional to 424.41 and 907.59

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Solution

The third proportional to 424.41 and 907.59 is: 1,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.41 : 907.59 = 907.59 : x
  2. Step 2: Convert to fraction form
    424.41/907.59 = 907.59/x
  3. Step 3: Cross multiply
    424.41x = 907.59 × 907.59
  4. Step 4: Simplify right side
    424.41x = 823,726.42
  5. Step 5: Solve for x
    x = 823,726.42/424.41
  6. Step 6: Final answer
    x = 1,940.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.