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Finding the Third Proportional to 351,562 and 728,047

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Solution

The third proportional to 351,562 and 728,047 is: 1,507,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,562 : 728,047 = 728,047 : x
  2. Step 2: Convert to fraction form
    351,562/728,047 = 728,047/x
  3. Step 3: Cross multiply
    351,562x = 728,047 × 728,047
  4. Step 4: Simplify right side
    351,562x = 530,052,434,209
  5. Step 5: Solve for x
    x = 530,052,434,209/351,562
  6. Step 6: Final answer
    x = 1,507,706.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.