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Finding the Third Proportional to 248,660 and 536,630

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Solution

The third proportional to 248,660 and 536,630 is: 1,158,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,660 : 536,630 = 536,630 : x
  2. Step 2: Convert to fraction form
    248,660/536,630 = 536,630/x
  3. Step 3: Cross multiply
    248,660x = 536,630 × 536,630
  4. Step 4: Simplify right side
    248,660x = 287,971,756,900
  5. Step 5: Solve for x
    x = 287,971,756,900/248,660
  6. Step 6: Final answer
    x = 1,158,094.41

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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.