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Finding the Third Proportional to 240,858.75 and 524,623.50

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Solution

The third proportional to 240,858.75 and 524,623.50 is: 1,142,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,858.75 : 524,623.50 = 524,623.50 : x
  2. Step 2: Convert to fraction form
    240,858.75/524,623.50 = 524,623.50/x
  3. Step 3: Cross multiply
    240,858.75x = 524,623.50 × 524,623.50
  4. Step 4: Simplify right side
    240,858.75x = 275,229,816,752.25
  5. Step 5: Solve for x
    x = 275,229,816,752.25/240,858.75
  6. Step 6: Final answer
    x = 1,142,702.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.