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Finding the Third Proportional to 367,880 and 562,510

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Solution

The third proportional to 367,880 and 562,510 is: 860,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,880 : 562,510 = 562,510 : x
  2. Step 2: Convert to fraction form
    367,880/562,510 = 562,510/x
  3. Step 3: Cross multiply
    367,880x = 562,510 × 562,510
  4. Step 4: Simplify right side
    367,880x = 316,417,500,100
  5. Step 5: Solve for x
    x = 316,417,500,100/367,880
  6. Step 6: Final answer
    x = 860,110.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.