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Finding the Third Proportional to 459.84 and 1,051.10

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Solution

The third proportional to 459.84 and 1,051.10 is: 2,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 1,051.10 = 1,051.10 : x
  2. Step 2: Convert to fraction form
    459.84/1,051.10 = 1,051.10/x
  3. Step 3: Cross multiply
    459.84x = 1,051.10 × 1,051.10
  4. Step 4: Simplify right side
    459.84x = 1,104,814.49
  5. Step 5: Solve for x
    x = 1,104,814.49/459.84
  6. Step 6: Final answer
    x = 2,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.