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Finding the Third Proportional to 265,826.25 and 583,322.63

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Solution

The third proportional to 265,826.25 and 583,322.63 is: 1,280,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,826.25 : 583,322.63 = 583,322.63 : x
  2. Step 2: Convert to fraction form
    265,826.25/583,322.63 = 583,322.63/x
  3. Step 3: Cross multiply
    265,826.25x = 583,322.63 × 583,322.63
  4. Step 4: Simplify right side
    265,826.25x = 340,265,284,836.89
  5. Step 5: Solve for x
    x = 340,265,284,836.89/265,826.25
  6. Step 6: Final answer
    x = 1,280,028.91

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Why These Related Problems?

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