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Finding the Third Proportional to 248,640 and 536,592

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Solution

The third proportional to 248,640 and 536,592 is: 1,158,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,640 : 536,592 = 536,592 : x
  2. Step 2: Convert to fraction form
    248,640/536,592 = 536,592/x
  3. Step 3: Cross multiply
    248,640x = 536,592 × 536,592
  4. Step 4: Simplify right side
    248,640x = 287,930,974,464
  5. Step 5: Solve for x
    x = 287,930,974,464/248,640
  6. Step 6: Final answer
    x = 1,158,023.55

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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.