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Finding the Third Proportional to 357,282 and 568,723

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Solution

The third proportional to 357,282 and 568,723 is: 905,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,282 : 568,723 = 568,723 : x
  2. Step 2: Convert to fraction form
    357,282/568,723 = 568,723/x
  3. Step 3: Cross multiply
    357,282x = 568,723 × 568,723
  4. Step 4: Simplify right side
    357,282x = 323,445,850,729
  5. Step 5: Solve for x
    x = 323,445,850,729/357,282
  6. Step 6: Final answer
    x = 905,295.68

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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.