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Finding the Third Proportional to 230,775.75 and 484,876.13

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Solution

The third proportional to 230,775.75 and 484,876.13 is: 1,018,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,775.75 : 484,876.13 = 484,876.13 : x
  2. Step 2: Convert to fraction form
    230,775.75/484,876.13 = 484,876.13/x
  3. Step 3: Cross multiply
    230,775.75x = 484,876.13 × 484,876.13
  4. Step 4: Simplify right side
    230,775.75x = 235,104,856,595.02
  5. Step 5: Solve for x
    x = 235,104,856,595.02/230,775.75
  6. Step 6: Final answer
    x = 1,018,758.93

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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.