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Finding the Third Proportional to 265,736 and 566,948

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Solution

The third proportional to 265,736 and 566,948 is: 1,209,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736 : 566,948 = 566,948 : x
  2. Step 2: Convert to fraction form
    265,736/566,948 = 566,948/x
  3. Step 3: Cross multiply
    265,736x = 566,948 × 566,948
  4. Step 4: Simplify right side
    265,736x = 321,430,034,704
  5. Step 5: Solve for x
    x = 321,430,034,704/265,736
  6. Step 6: Final answer
    x = 1,209,584.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.