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Finding the Third Proportional to 230,784.75 and 484,895.25

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Solution

The third proportional to 230,784.75 and 484,895.25 is: 1,018,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,784.75 : 484,895.25 = 484,895.25 : x
  2. Step 2: Convert to fraction form
    230,784.75/484,895.25 = 484,895.25/x
  3. Step 3: Cross multiply
    230,784.75x = 484,895.25 × 484,895.25
  4. Step 4: Simplify right side
    230,784.75x = 235,123,403,472.56
  5. Step 5: Solve for x
    x = 235,123,403,472.56/230,784.75
  6. Step 6: Final answer
    x = 1,018,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.