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Finding the Third Proportional to 276,868.13 and 601,759.13

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Solution

The third proportional to 276,868.13 and 601,759.13 is: 1,307,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,868.13 : 601,759.13 = 601,759.13 : x
  2. Step 2: Convert to fraction form
    276,868.13/601,759.13 = 601,759.13/x
  3. Step 3: Cross multiply
    276,868.13x = 601,759.13 × 601,759.13
  4. Step 4: Simplify right side
    276,868.13x = 362,114,044,520.77
  5. Step 5: Solve for x
    x = 362,114,044,520.77/276,868.13
  6. Step 6: Final answer
    x = 1,307,893.58

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Why These Related Problems?

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