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Finding the Third Proportional to 373,846 and 561,246

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Solution

The third proportional to 373,846 and 561,246 is: 842,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,846 : 561,246 = 561,246 : x
  2. Step 2: Convert to fraction form
    373,846/561,246 = 561,246/x
  3. Step 3: Cross multiply
    373,846x = 561,246 × 561,246
  4. Step 4: Simplify right side
    373,846x = 314,997,072,516
  5. Step 5: Solve for x
    x = 314,997,072,516/373,846
  6. Step 6: Final answer
    x = 842,585.11

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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.