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Finding the Third Proportional to 262,138 and 562,508

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Solution

The third proportional to 262,138 and 562,508 is: 1,207,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,138 : 562,508 = 562,508 : x
  2. Step 2: Convert to fraction form
    262,138/562,508 = 562,508/x
  3. Step 3: Cross multiply
    262,138x = 562,508 × 562,508
  4. Step 4: Simplify right side
    262,138x = 316,415,250,064
  5. Step 5: Solve for x
    x = 316,415,250,064/262,138
  6. Step 6: Final answer
    x = 1,207,056.02

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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.