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Finding the Third Proportional to 221,781 and 502,783.50

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Solution

The third proportional to 221,781 and 502,783.50 is: 1,139,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,781 : 502,783.50 = 502,783.50 : x
  2. Step 2: Convert to fraction form
    221,781/502,783.50 = 502,783.50/x
  3. Step 3: Cross multiply
    221,781x = 502,783.50 × 502,783.50
  4. Step 4: Simplify right side
    221,781x = 252,791,247,872.25
  5. Step 5: Solve for x
    x = 252,791,247,872.25/221,781
  6. Step 6: Final answer
    x = 1,139,823.74

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.