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Finding the Third Proportional to 240,048 and 525,294

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Solution

The third proportional to 240,048 and 525,294 is: 1,149,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,048 : 525,294 = 525,294 : x
  2. Step 2: Convert to fraction form
    240,048/525,294 = 525,294/x
  3. Step 3: Cross multiply
    240,048x = 525,294 × 525,294
  4. Step 4: Simplify right side
    240,048x = 275,933,786,436
  5. Step 5: Solve for x
    x = 275,933,786,436/240,048
  6. Step 6: Final answer
    x = 1,149,494.21

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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.