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Finding the Third Proportional to 265,932 and 581,928

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Solution

The third proportional to 265,932 and 581,928 is: 1,273,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,932 : 581,928 = 581,928 : x
  2. Step 2: Convert to fraction form
    265,932/581,928 = 581,928/x
  3. Step 3: Cross multiply
    265,932x = 581,928 × 581,928
  4. Step 4: Simplify right side
    265,932x = 338,640,197,184
  5. Step 5: Solve for x
    x = 338,640,197,184/265,932
  6. Step 6: Final answer
    x = 1,273,408.98

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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.