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Finding the Third Proportional to 276,403 and 601,973

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Solution

The third proportional to 276,403 and 601,973 is: 1,311,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,403 : 601,973 = 601,973 : x
  2. Step 2: Convert to fraction form
    276,403/601,973 = 601,973/x
  3. Step 3: Cross multiply
    276,403x = 601,973 × 601,973
  4. Step 4: Simplify right side
    276,403x = 362,371,492,729
  5. Step 5: Solve for x
    x = 362,371,492,729/276,403
  6. Step 6: Final answer
    x = 1,311,025.90

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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.