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Finding the Third Proportional to 262,237 and 562,707

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Solution

The third proportional to 262,237 and 562,707 is: 1,207,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,237 : 562,707 = 562,707 : x
  2. Step 2: Convert to fraction form
    262,237/562,707 = 562,707/x
  3. Step 3: Cross multiply
    262,237x = 562,707 × 562,707
  4. Step 4: Simplify right side
    262,237x = 316,639,167,849
  5. Step 5: Solve for x
    x = 316,639,167,849/262,237
  6. Step 6: Final answer
    x = 1,207,454.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.