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Finding the Third Proportional to 265,812.75 and 583,289.25

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Solution

The third proportional to 265,812.75 and 583,289.25 is: 1,279,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,812.75 : 583,289.25 = 583,289.25 : x
  2. Step 2: Convert to fraction form
    265,812.75/583,289.25 = 583,289.25/x
  3. Step 3: Cross multiply
    265,812.75x = 583,289.25 × 583,289.25
  4. Step 4: Simplify right side
    265,812.75x = 340,226,349,165.56
  5. Step 5: Solve for x
    x = 340,226,349,165.56/265,812.75
  6. Step 6: Final answer
    x = 1,279,947.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.