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Finding the Third Proportional to 242,976 and 525,888

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Solution

The third proportional to 242,976 and 525,888 is: 1,138,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,976 : 525,888 = 525,888 : x
  2. Step 2: Convert to fraction form
    242,976/525,888 = 525,888/x
  3. Step 3: Cross multiply
    242,976x = 525,888 × 525,888
  4. Step 4: Simplify right side
    242,976x = 276,558,188,544
  5. Step 5: Solve for x
    x = 276,558,188,544/242,976
  6. Step 6: Final answer
    x = 1,138,211.96

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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.