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Finding the Third Proportional to 276,140 and 594,535

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Solution

The third proportional to 276,140 and 594,535 is: 1,280,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,140 : 594,535 = 594,535 : x
  2. Step 2: Convert to fraction form
    276,140/594,535 = 594,535/x
  3. Step 3: Cross multiply
    276,140x = 594,535 × 594,535
  4. Step 4: Simplify right side
    276,140x = 353,471,866,225
  5. Step 5: Solve for x
    x = 353,471,866,225/276,140
  6. Step 6: Final answer
    x = 1,280,045.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.