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Finding the Third Proportional to 205,217 and 288,787

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Solution

The third proportional to 205,217 and 288,787 is: 406,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,217 : 288,787 = 288,787 : x
  2. Step 2: Convert to fraction form
    205,217/288,787 = 288,787/x
  3. Step 3: Cross multiply
    205,217x = 288,787 × 288,787
  4. Step 4: Simplify right side
    205,217x = 83,397,931,369
  5. Step 5: Solve for x
    x = 83,397,931,369/205,217
  6. Step 6: Final answer
    x = 406,389.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.