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Finding the Third Proportional to 248,626 and 536,564

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Solution

The third proportional to 248,626 and 536,564 is: 1,157,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,626 : 536,564 = 536,564 : x
  2. Step 2: Convert to fraction form
    248,626/536,564 = 536,564/x
  3. Step 3: Cross multiply
    248,626x = 536,564 × 536,564
  4. Step 4: Simplify right side
    248,626x = 287,900,926,096
  5. Step 5: Solve for x
    x = 287,900,926,096/248,626
  6. Step 6: Final answer
    x = 1,157,967.90

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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.