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Finding the Third Proportional to 276,468 and 602,103

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Solution

The third proportional to 276,468 and 602,103 is: 1,311,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468 : 602,103 = 602,103 : x
  2. Step 2: Convert to fraction form
    276,468/602,103 = 602,103/x
  3. Step 3: Cross multiply
    276,468x = 602,103 × 602,103
  4. Step 4: Simplify right side
    276,468x = 362,528,022,609
  5. Step 5: Solve for x
    x = 362,528,022,609/276,468
  6. Step 6: Final answer
    x = 1,311,283.85

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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.