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Finding the Third Proportional to 399,962 and 562,518

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Solution

The third proportional to 399,962 and 562,518 is: 791,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,962 : 562,518 = 562,518 : x
  2. Step 2: Convert to fraction form
    399,962/562,518 = 562,518/x
  3. Step 3: Cross multiply
    399,962x = 562,518 × 562,518
  4. Step 4: Simplify right side
    399,962x = 316,426,500,324
  5. Step 5: Solve for x
    x = 316,426,500,324/399,962
  6. Step 6: Final answer
    x = 791,141.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.