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Finding the Third Proportional to 357,298 and 568,747

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Solution

The third proportional to 357,298 and 568,747 is: 905,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,298 : 568,747 = 568,747 : x
  2. Step 2: Convert to fraction form
    357,298/568,747 = 568,747/x
  3. Step 3: Cross multiply
    357,298x = 568,747 × 568,747
  4. Step 4: Simplify right side
    357,298x = 323,473,150,009
  5. Step 5: Solve for x
    x = 323,473,150,009/357,298
  6. Step 6: Final answer
    x = 905,331.54

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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.