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Finding the Third Proportional to 480.61 and 1,038.42

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Solution

The third proportional to 480.61 and 1,038.42 is: 2,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.61 : 1,038.42 = 1,038.42 : x
  2. Step 2: Convert to fraction form
    480.61/1,038.42 = 1,038.42/x
  3. Step 3: Cross multiply
    480.61x = 1,038.42 × 1,038.42
  4. Step 4: Simplify right side
    480.61x = 1,078,319.99
  5. Step 5: Solve for x
    x = 1,078,319.99/480.61
  6. Step 6: Final answer
    x = 2,243.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.