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Finding the Third Proportional to 430,227 and 888,084

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Solution

The third proportional to 430,227 and 888,084 is: 1,833,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,227 : 888,084 = 888,084 : x
  2. Step 2: Convert to fraction form
    430,227/888,084 = 888,084/x
  3. Step 3: Cross multiply
    430,227x = 888,084 × 888,084
  4. Step 4: Simplify right side
    430,227x = 788,693,191,056
  5. Step 5: Solve for x
    x = 788,693,191,056/430,227
  6. Step 6: Final answer
    x = 1,833,202.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.