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Finding the Third Proportional to 276,528 and 603,078

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Solution

The third proportional to 276,528 and 603,078 is: 1,315,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,528 : 603,078 = 603,078 : x
  2. Step 2: Convert to fraction form
    276,528/603,078 = 603,078/x
  3. Step 3: Cross multiply
    276,528x = 603,078 × 603,078
  4. Step 4: Simplify right side
    276,528x = 363,703,074,084
  5. Step 5: Solve for x
    x = 363,703,074,084/276,528
  6. Step 6: Final answer
    x = 1,315,248.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.