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Finding the Third Proportional to 248,684 and 532,270

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Solution

The third proportional to 248,684 and 532,270 is: 1,139,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,684 : 532,270 = 532,270 : x
  2. Step 2: Convert to fraction form
    248,684/532,270 = 532,270/x
  3. Step 3: Cross multiply
    248,684x = 532,270 × 532,270
  4. Step 4: Simplify right side
    248,684x = 283,311,352,900
  5. Step 5: Solve for x
    x = 283,311,352,900/248,684
  6. Step 6: Final answer
    x = 1,139,242.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.