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Finding the Third Proportional to 240,024 and 525,246

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Solution

The third proportional to 240,024 and 525,246 is: 1,149,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,024 : 525,246 = 525,246 : x
  2. Step 2: Convert to fraction form
    240,024/525,246 = 525,246/x
  3. Step 3: Cross multiply
    240,024x = 525,246 × 525,246
  4. Step 4: Simplify right side
    240,024x = 275,883,360,516
  5. Step 5: Solve for x
    x = 275,883,360,516/240,024
  6. Step 6: Final answer
    x = 1,149,399.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.