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Finding the Third Proportional to 276,938 and 602,476

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Solution

The third proportional to 276,938 and 602,476 is: 1,310,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,938 : 602,476 = 602,476 : x
  2. Step 2: Convert to fraction form
    276,938/602,476 = 602,476/x
  3. Step 3: Cross multiply
    276,938x = 602,476 × 602,476
  4. Step 4: Simplify right side
    276,938x = 362,977,330,576
  5. Step 5: Solve for x
    x = 362,977,330,576/276,938
  6. Step 6: Final answer
    x = 1,310,680.84

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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.