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Finding the Third Proportional to 427,800.38 and 929,506.50

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Solution

The third proportional to 427,800.38 and 929,506.50 is: 2,019,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,800.38 : 929,506.50 = 929,506.50 : x
  2. Step 2: Convert to fraction form
    427,800.38/929,506.50 = 929,506.50/x
  3. Step 3: Cross multiply
    427,800.38x = 929,506.50 × 929,506.50
  4. Step 4: Simplify right side
    427,800.38x = 863,982,333,542.25
  5. Step 5: Solve for x
    x = 863,982,333,542.25/427,800.38
  6. Step 6: Final answer
    x = 2,019,592.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.