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Finding the Third Proportional to 276,947 and 602,494

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Solution

The third proportional to 276,947 and 602,494 is: 1,310,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,947 : 602,494 = 602,494 : x
  2. Step 2: Convert to fraction form
    276,947/602,494 = 602,494/x
  3. Step 3: Cross multiply
    276,947x = 602,494 × 602,494
  4. Step 4: Simplify right side
    276,947x = 362,999,020,036
  5. Step 5: Solve for x
    x = 362,999,020,036/276,947
  6. Step 6: Final answer
    x = 1,310,716.56

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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.