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Finding the Third Proportional to 248,826 and 536,532

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Solution

The third proportional to 248,826 and 536,532 is: 1,156,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,826 : 536,532 = 536,532 : x
  2. Step 2: Convert to fraction form
    248,826/536,532 = 536,532/x
  3. Step 3: Cross multiply
    248,826x = 536,532 × 536,532
  4. Step 4: Simplify right side
    248,826x = 287,866,587,024
  5. Step 5: Solve for x
    x = 287,866,587,024/248,826
  6. Step 6: Final answer
    x = 1,156,899.15

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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.