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Finding the Third Proportional to 361,236 and 562,534

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Solution

The third proportional to 361,236 and 562,534 is: 876,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,236 : 562,534 = 562,534 : x
  2. Step 2: Convert to fraction form
    361,236/562,534 = 562,534/x
  3. Step 3: Cross multiply
    361,236x = 562,534 × 562,534
  4. Step 4: Simplify right side
    361,236x = 316,444,501,156
  5. Step 5: Solve for x
    x = 316,444,501,156/361,236
  6. Step 6: Final answer
    x = 876,004.89

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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.