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Finding the Third Proportional to 459.84 and 1,048.36

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Solution

The third proportional to 459.84 and 1,048.36 is: 2,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 1,048.36 = 1,048.36 : x
  2. Step 2: Convert to fraction form
    459.84/1,048.36 = 1,048.36/x
  3. Step 3: Cross multiply
    459.84x = 1,048.36 × 1,048.36
  4. Step 4: Simplify right side
    459.84x = 1,099,057.38
  5. Step 5: Solve for x
    x = 1,099,057.38/459.84
  6. Step 6: Final answer
    x = 2,390.07

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.