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Finding the Third Proportional to 561,246.38 and 997,827

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Solution

The third proportional to 561,246.38 and 997,827 is: 1,774,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,246.38 : 997,827 = 997,827 : x
  2. Step 2: Convert to fraction form
    561,246.38/997,827 = 997,827/x
  3. Step 3: Cross multiply
    561,246.38x = 997,827 × 997,827
  4. Step 4: Simplify right side
    561,246.38x = 995,658,721,929
  5. Step 5: Solve for x
    x = 995,658,721,929/561,246.38
  6. Step 6: Final answer
    x = 1,774,013.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.