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Finding the Third Proportional to 351,126 and 744,084

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Solution

The third proportional to 351,126 and 744,084 is: 1,576,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,126 : 744,084 = 744,084 : x
  2. Step 2: Convert to fraction form
    351,126/744,084 = 744,084/x
  3. Step 3: Cross multiply
    351,126x = 744,084 × 744,084
  4. Step 4: Simplify right side
    351,126x = 553,660,999,056
  5. Step 5: Solve for x
    x = 553,660,999,056/351,126
  6. Step 6: Final answer
    x = 1,576,815.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.