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Finding the Third Proportional to 276,077.25 and 583,985.25

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Solution

The third proportional to 276,077.25 and 583,985.25 is: 1,235,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,077.25 : 583,985.25 = 583,985.25 : x
  2. Step 2: Convert to fraction form
    276,077.25/583,985.25 = 583,985.25/x
  3. Step 3: Cross multiply
    276,077.25x = 583,985.25 × 583,985.25
  4. Step 4: Simplify right side
    276,077.25x = 341,038,772,217.56
  5. Step 5: Solve for x
    x = 341,038,772,217.56/276,077.25
  6. Step 6: Final answer
    x = 1,235,301.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.