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Finding the Third Proportional to 561,236 and 842,494

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Solution

The third proportional to 561,236 and 842,494 is: 1,264,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,236 : 842,494 = 842,494 : x
  2. Step 2: Convert to fraction form
    561,236/842,494 = 842,494/x
  3. Step 3: Cross multiply
    561,236x = 842,494 × 842,494
  4. Step 4: Simplify right side
    561,236x = 709,796,140,036
  5. Step 5: Solve for x
    x = 709,796,140,036/561,236
  6. Step 6: Final answer
    x = 1,264,701.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.