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Finding the Third Proportional to 240,759 and 569,365.50

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Solution

The third proportional to 240,759 and 569,365.50 is: 1,346,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,759 : 569,365.50 = 569,365.50 : x
  2. Step 2: Convert to fraction form
    240,759/569,365.50 = 569,365.50/x
  3. Step 3: Cross multiply
    240,759x = 569,365.50 × 569,365.50
  4. Step 4: Simplify right side
    240,759x = 324,177,072,590.25
  5. Step 5: Solve for x
    x = 324,177,072,590.25/240,759
  6. Step 6: Final answer
    x = 1,346,479.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.