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Finding the Third Proportional to 240,882 and 524,664

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Solution

The third proportional to 240,882 and 524,664 is: 1,142,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,882 : 524,664 = 524,664 : x
  2. Step 2: Convert to fraction form
    240,882/524,664 = 524,664/x
  3. Step 3: Cross multiply
    240,882x = 524,664 × 524,664
  4. Step 4: Simplify right side
    240,882x = 275,272,312,896
  5. Step 5: Solve for x
    x = 275,272,312,896/240,882
  6. Step 6: Final answer
    x = 1,142,768.30

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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.