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Finding the Third Proportional to 357,286 and 568,729

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Solution

The third proportional to 357,286 and 568,729 is: 905,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,286 : 568,729 = 568,729 : x
  2. Step 2: Convert to fraction form
    357,286/568,729 = 568,729/x
  3. Step 3: Cross multiply
    357,286x = 568,729 × 568,729
  4. Step 4: Simplify right side
    357,286x = 323,452,675,441
  5. Step 5: Solve for x
    x = 323,452,675,441/357,286
  6. Step 6: Final answer
    x = 905,304.65

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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.