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Finding the Third Proportional to 276,470 and 602,962

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Solution

The third proportional to 276,470 and 602,962 is: 1,315,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,470 : 602,962 = 602,962 : x
  2. Step 2: Convert to fraction form
    276,470/602,962 = 602,962/x
  3. Step 3: Cross multiply
    276,470x = 602,962 × 602,962
  4. Step 4: Simplify right side
    276,470x = 363,563,173,444
  5. Step 5: Solve for x
    x = 363,563,173,444/276,470
  6. Step 6: Final answer
    x = 1,315,018.53

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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.