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Finding the Third Proportional to 230,112 and 537,888

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Solution

The third proportional to 230,112 and 537,888 is: 1,257,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,112 : 537,888 = 537,888 : x
  2. Step 2: Convert to fraction form
    230,112/537,888 = 537,888/x
  3. Step 3: Cross multiply
    230,112x = 537,888 × 537,888
  4. Step 4: Simplify right side
    230,112x = 289,323,500,544
  5. Step 5: Solve for x
    x = 289,323,500,544/230,112
  6. Step 6: Final answer
    x = 1,257,316.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.