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Finding the Third Proportional to 230,688 and 500,544

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Solution

The third proportional to 230,688 and 500,544 is: 1,086,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,688 : 500,544 = 500,544 : x
  2. Step 2: Convert to fraction form
    230,688/500,544 = 500,544/x
  3. Step 3: Cross multiply
    230,688x = 500,544 × 500,544
  4. Step 4: Simplify right side
    230,688x = 250,544,295,936
  5. Step 5: Solve for x
    x = 250,544,295,936/230,688
  6. Step 6: Final answer
    x = 1,086,074.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.