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Finding the Third Proportional to 335,147 and 722,779

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Solution

The third proportional to 335,147 and 722,779 is: 1,558,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,147 : 722,779 = 722,779 : x
  2. Step 2: Convert to fraction form
    335,147/722,779 = 722,779/x
  3. Step 3: Cross multiply
    335,147x = 722,779 × 722,779
  4. Step 4: Simplify right side
    335,147x = 522,409,482,841
  5. Step 5: Solve for x
    x = 522,409,482,841/335,147
  6. Step 6: Final answer
    x = 1,558,747.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.