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Finding the Third Proportional to 361,000.50 and 561,243

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Solution

The third proportional to 361,000.50 and 561,243 is: 872,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,000.50 : 561,243 = 561,243 : x
  2. Step 2: Convert to fraction form
    361,000.50/561,243 = 561,243/x
  3. Step 3: Cross multiply
    361,000.50x = 561,243 × 561,243
  4. Step 4: Simplify right side
    361,000.50x = 314,993,705,049
  5. Step 5: Solve for x
    x = 314,993,705,049/361,000.50
  6. Step 6: Final answer
    x = 872,557.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.