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Finding the Third Proportional to 248,802 and 536,900

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Solution

The third proportional to 248,802 and 536,900 is: 1,158,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,802 : 536,900 = 536,900 : x
  2. Step 2: Convert to fraction form
    248,802/536,900 = 536,900/x
  3. Step 3: Cross multiply
    248,802x = 536,900 × 536,900
  4. Step 4: Simplify right side
    248,802x = 288,261,610,000
  5. Step 5: Solve for x
    x = 288,261,610,000/248,802
  6. Step 6: Final answer
    x = 1,158,598.44

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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.