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Finding the Third Proportional to 276,837.75 and 583,017.75

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Solution

The third proportional to 276,837.75 and 583,017.75 is: 1,227,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,837.75 : 583,017.75 = 583,017.75 : x
  2. Step 2: Convert to fraction form
    276,837.75/583,017.75 = 583,017.75/x
  3. Step 3: Cross multiply
    276,837.75x = 583,017.75 × 583,017.75
  4. Step 4: Simplify right side
    276,837.75x = 339,909,696,815.06
  5. Step 5: Solve for x
    x = 339,909,696,815.06/276,837.75
  6. Step 6: Final answer
    x = 1,227,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.