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Finding the Third Proportional to 265,800 and 583,268.25

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Solution

The third proportional to 265,800 and 583,268.25 is: 1,279,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,800 : 583,268.25 = 583,268.25 : x
  2. Step 2: Convert to fraction form
    265,800/583,268.25 = 583,268.25/x
  3. Step 3: Cross multiply
    265,800x = 583,268.25 × 583,268.25
  4. Step 4: Simplify right side
    265,800x = 340,201,851,458.06
  5. Step 5: Solve for x
    x = 340,201,851,458.06/265,800
  6. Step 6: Final answer
    x = 1,279,916.67

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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.