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Finding the Third Proportional to 248,360 and 536,408

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Solution

The third proportional to 248,360 and 536,408 is: 1,158,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,360 : 536,408 = 536,408 : x
  2. Step 2: Convert to fraction form
    248,360/536,408 = 536,408/x
  3. Step 3: Cross multiply
    248,360x = 536,408 × 536,408
  4. Step 4: Simplify right side
    248,360x = 287,733,542,464
  5. Step 5: Solve for x
    x = 287,733,542,464/248,360
  6. Step 6: Final answer
    x = 1,158,534.15

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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.