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Finding the Third Proportional to 264,021.50 and 567,848.50

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Solution

The third proportional to 264,021.50 and 567,848.50 is: 1,221,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,021.50 : 567,848.50 = 567,848.50 : x
  2. Step 2: Convert to fraction form
    264,021.50/567,848.50 = 567,848.50/x
  3. Step 3: Cross multiply
    264,021.50x = 567,848.50 × 567,848.50
  4. Step 4: Simplify right side
    264,021.50x = 322,451,918,952.25
  5. Step 5: Solve for x
    x = 322,451,918,952.25/264,021.50
  6. Step 6: Final answer
    x = 1,221,309.32

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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.