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Finding the Third Proportional to 265,764 and 563,928

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Solution

The third proportional to 265,764 and 563,928 is: 1,196,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,764 : 563,928 = 563,928 : x
  2. Step 2: Convert to fraction form
    265,764/563,928 = 563,928/x
  3. Step 3: Cross multiply
    265,764x = 563,928 × 563,928
  4. Step 4: Simplify right side
    265,764x = 318,014,789,184
  5. Step 5: Solve for x
    x = 318,014,789,184/265,764
  6. Step 6: Final answer
    x = 1,196,605.97

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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.