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Finding the Third Proportional to 244,282 and 535,796

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Solution

The third proportional to 244,282 and 535,796 is: 1,175,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,282 : 535,796 = 535,796 : x
  2. Step 2: Convert to fraction form
    244,282/535,796 = 535,796/x
  3. Step 3: Cross multiply
    244,282x = 535,796 × 535,796
  4. Step 4: Simplify right side
    244,282x = 287,077,353,616
  5. Step 5: Solve for x
    x = 287,077,353,616/244,282
  6. Step 6: Final answer
    x = 1,175,188.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.