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Finding the Third Proportional to 295,690.50 and 452,405.25

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Solution

The third proportional to 295,690.50 and 452,405.25 is: 692,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,690.50 : 452,405.25 = 452,405.25 : x
  2. Step 2: Convert to fraction form
    295,690.50/452,405.25 = 452,405.25/x
  3. Step 3: Cross multiply
    295,690.50x = 452,405.25 × 452,405.25
  4. Step 4: Simplify right side
    295,690.50x = 204,670,510,227.56
  5. Step 5: Solve for x
    x = 204,670,510,227.56/295,690.50
  6. Step 6: Final answer
    x = 692,178.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.