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Finding the Third Proportional to 361,224 and 562,518

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Solution

The third proportional to 361,224 and 562,518 is: 875,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,224 : 562,518 = 562,518 : x
  2. Step 2: Convert to fraction form
    361,224/562,518 = 562,518/x
  3. Step 3: Cross multiply
    361,224x = 562,518 × 562,518
  4. Step 4: Simplify right side
    361,224x = 316,426,500,324
  5. Step 5: Solve for x
    x = 316,426,500,324/361,224
  6. Step 6: Final answer
    x = 875,984.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.