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Finding the Third Proportional to 265,902 and 581,868

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Solution

The third proportional to 265,902 and 581,868 is: 1,273,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,902 : 581,868 = 581,868 : x
  2. Step 2: Convert to fraction form
    265,902/581,868 = 581,868/x
  3. Step 3: Cross multiply
    265,902x = 581,868 × 581,868
  4. Step 4: Simplify right side
    265,902x = 338,570,369,424
  5. Step 5: Solve for x
    x = 338,570,369,424/265,902
  6. Step 6: Final answer
    x = 1,273,290.04

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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.