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Finding the Third Proportional to 459.50 and 1,006.25

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Solution

The third proportional to 459.50 and 1,006.25 is: 2,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 1,006.25 = 1,006.25 : x
  2. Step 2: Convert to fraction form
    459.50/1,006.25 = 1,006.25/x
  3. Step 3: Cross multiply
    459.50x = 1,006.25 × 1,006.25
  4. Step 4: Simplify right side
    459.50x = 1,012,539.06
  5. Step 5: Solve for x
    x = 1,012,539.06/459.50
  6. Step 6: Final answer
    x = 2,203.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.