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Finding the Third Proportional to 248,676 and 536,664

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Solution

The third proportional to 248,676 and 536,664 is: 1,158,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,676 : 536,664 = 536,664 : x
  2. Step 2: Convert to fraction form
    248,676/536,664 = 536,664/x
  3. Step 3: Cross multiply
    248,676x = 536,664 × 536,664
  4. Step 4: Simplify right side
    248,676x = 288,008,248,896
  5. Step 5: Solve for x
    x = 288,008,248,896/248,676
  6. Step 6: Final answer
    x = 1,158,166.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.