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Finding the Third Proportional to 258,496.71 and 568,017.72

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Solution

The third proportional to 258,496.71 and 568,017.72 is: 1,248,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,496.71 : 568,017.72 = 568,017.72 : x
  2. Step 2: Convert to fraction form
    258,496.71/568,017.72 = 568,017.72/x
  3. Step 3: Cross multiply
    258,496.71x = 568,017.72 × 568,017.72
  4. Step 4: Simplify right side
    258,496.71x = 322,644,131,032.75
  5. Step 5: Solve for x
    x = 322,644,131,032.75/258,496.71
  6. Step 6: Final answer
    x = 1,248,155.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.