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Finding the Third Proportional to 276,946.50 and 602,493

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Solution

The third proportional to 276,946.50 and 602,493 is: 1,310,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,946.50 : 602,493 = 602,493 : x
  2. Step 2: Convert to fraction form
    276,946.50/602,493 = 602,493/x
  3. Step 3: Cross multiply
    276,946.50x = 602,493 × 602,493
  4. Step 4: Simplify right side
    276,946.50x = 362,997,815,049
  5. Step 5: Solve for x
    x = 362,997,815,049/276,946.50
  6. Step 6: Final answer
    x = 1,310,714.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.