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Finding the Third Proportional to 264,031.50 and 567,868.50

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Solution

The third proportional to 264,031.50 and 567,868.50 is: 1,221,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,031.50 : 567,868.50 = 567,868.50 : x
  2. Step 2: Convert to fraction form
    264,031.50/567,868.50 = 567,868.50/x
  3. Step 3: Cross multiply
    264,031.50x = 567,868.50 × 567,868.50
  4. Step 4: Simplify right side
    264,031.50x = 322,474,633,292.25
  5. Step 5: Solve for x
    x = 322,474,633,292.25/264,031.50
  6. Step 6: Final answer
    x = 1,221,349.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.