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Finding the Third Proportional to 261,046.50 and 556,233

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Solution

The third proportional to 261,046.50 and 556,233 is: 1,185,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,046.50 : 556,233 = 556,233 : x
  2. Step 2: Convert to fraction form
    261,046.50/556,233 = 556,233/x
  3. Step 3: Cross multiply
    261,046.50x = 556,233 × 556,233
  4. Step 4: Simplify right side
    261,046.50x = 309,395,150,289
  5. Step 5: Solve for x
    x = 309,395,150,289/261,046.50
  6. Step 6: Final answer
    x = 1,185,210.87

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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.