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Finding the Third Proportional to 230,616 and 500,596

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Solution

The third proportional to 230,616 and 500,596 is: 1,086,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,616 : 500,596 = 500,596 : x
  2. Step 2: Convert to fraction form
    230,616/500,596 = 500,596/x
  3. Step 3: Cross multiply
    230,616x = 500,596 × 500,596
  4. Step 4: Simplify right side
    230,616x = 250,596,355,216
  5. Step 5: Solve for x
    x = 250,596,355,216/230,616
  6. Step 6: Final answer
    x = 1,086,639.07

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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.