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Finding the Third Proportional to 478.83 and 1,024.84

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Solution

The third proportional to 478.83 and 1,024.84 is: 2,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.83 : 1,024.84 = 1,024.84 : x
  2. Step 2: Convert to fraction form
    478.83/1,024.84 = 1,024.84/x
  3. Step 3: Cross multiply
    478.83x = 1,024.84 × 1,024.84
  4. Step 4: Simplify right side
    478.83x = 1,050,296.71
  5. Step 5: Solve for x
    x = 1,050,296.71/478.83
  6. Step 6: Final answer
    x = 2,193.47

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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.