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Finding the Third Proportional to 266,680 and 583,176

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Solution

The third proportional to 266,680 and 583,176 is: 1,275,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,680 : 583,176 = 583,176 : x
  2. Step 2: Convert to fraction form
    266,680/583,176 = 583,176/x
  3. Step 3: Cross multiply
    266,680x = 583,176 × 583,176
  4. Step 4: Simplify right side
    266,680x = 340,094,246,976
  5. Step 5: Solve for x
    x = 340,094,246,976/266,680
  6. Step 6: Final answer
    x = 1,275,289.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.