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Finding the Third Proportional to 477.84 and 1,287.84

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Solution

The third proportional to 477.84 and 1,287.84 is: 3,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 1,287.84 = 1,287.84 : x
  2. Step 2: Convert to fraction form
    477.84/1,287.84 = 1,287.84/x
  3. Step 3: Cross multiply
    477.84x = 1,287.84 × 1,287.84
  4. Step 4: Simplify right side
    477.84x = 1,658,541.52
  5. Step 5: Solve for x
    x = 1,658,541.52/477.84
  6. Step 6: Final answer
    x = 3,470.89

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.