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Finding the Third Proportional to 265,466 and 562,024

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Solution

The third proportional to 265,466 and 562,024 is: 1,189,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,466 : 562,024 = 562,024 : x
  2. Step 2: Convert to fraction form
    265,466/562,024 = 562,024/x
  3. Step 3: Cross multiply
    265,466x = 562,024 × 562,024
  4. Step 4: Simplify right side
    265,466x = 315,870,976,576
  5. Step 5: Solve for x
    x = 315,870,976,576/265,466
  6. Step 6: Final answer
    x = 1,189,873.57

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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.