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Finding the Third Proportional to 267,235.50 and 556,584

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Solution

The third proportional to 267,235.50 and 556,584 is: 1,159,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,235.50 : 556,584 = 556,584 : x
  2. Step 2: Convert to fraction form
    267,235.50/556,584 = 556,584/x
  3. Step 3: Cross multiply
    267,235.50x = 556,584 × 556,584
  4. Step 4: Simplify right side
    267,235.50x = 309,785,749,056
  5. Step 5: Solve for x
    x = 309,785,749,056/267,235.50
  6. Step 6: Final answer
    x = 1,159,223.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.