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Finding the Third Proportional to 309,692.25 and 452,584.13

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Solution

The third proportional to 309,692.25 and 452,584.13 is: 661,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,692.25 : 452,584.13 = 452,584.13 : x
  2. Step 2: Convert to fraction form
    309,692.25/452,584.13 = 452,584.13/x
  3. Step 3: Cross multiply
    309,692.25x = 452,584.13 × 452,584.13
  4. Step 4: Simplify right side
    309,692.25x = 204,832,390,202.02
  5. Step 5: Solve for x
    x = 204,832,390,202.02/309,692.25
  6. Step 6: Final answer
    x = 661,406.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.