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Finding the Third Proportional to 276,925 and 600,506

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Solution

The third proportional to 276,925 and 600,506 is: 1,302,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,925 : 600,506 = 600,506 : x
  2. Step 2: Convert to fraction form
    276,925/600,506 = 600,506/x
  3. Step 3: Cross multiply
    276,925x = 600,506 × 600,506
  4. Step 4: Simplify right side
    276,925x = 360,607,456,036
  5. Step 5: Solve for x
    x = 360,607,456,036/276,925
  6. Step 6: Final answer
    x = 1,302,184.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.