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Finding the Third Proportional to 248,796 and 536,888

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Solution

The third proportional to 248,796 and 536,888 is: 1,158,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,796 : 536,888 = 536,888 : x
  2. Step 2: Convert to fraction form
    248,796/536,888 = 536,888/x
  3. Step 3: Cross multiply
    248,796x = 536,888 × 536,888
  4. Step 4: Simplify right side
    248,796x = 288,248,724,544
  5. Step 5: Solve for x
    x = 288,248,724,544/248,796
  6. Step 6: Final answer
    x = 1,158,574.59

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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.