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Finding the Third Proportional to 357,298 and 568,749

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Solution

The third proportional to 357,298 and 568,749 is: 905,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,298 : 568,749 = 568,749 : x
  2. Step 2: Convert to fraction form
    357,298/568,749 = 568,749/x
  3. Step 3: Cross multiply
    357,298x = 568,749 × 568,749
  4. Step 4: Simplify right side
    357,298x = 323,475,425,001
  5. Step 5: Solve for x
    x = 323,475,425,001/357,298
  6. Step 6: Final answer
    x = 905,337.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.