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Finding the Third Proportional to 262,095.75 and 558,535.50

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Solution

The third proportional to 262,095.75 and 558,535.50 is: 1,190,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,095.75 : 558,535.50 = 558,535.50 : x
  2. Step 2: Convert to fraction form
    262,095.75/558,535.50 = 558,535.50/x
  3. Step 3: Cross multiply
    262,095.75x = 558,535.50 × 558,535.50
  4. Step 4: Simplify right side
    262,095.75x = 311,961,904,760.25
  5. Step 5: Solve for x
    x = 311,961,904,760.25/262,095.75
  6. Step 6: Final answer
    x = 1,190,259.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.