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Finding the Third Proportional to 384,553.69 and 596,989.69

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Solution

The third proportional to 384,553.69 and 596,989.69 is: 926,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,553.69 : 596,989.69 = 596,989.69 : x
  2. Step 2: Convert to fraction form
    384,553.69/596,989.69 = 596,989.69/x
  3. Step 3: Cross multiply
    384,553.69x = 596,989.69 × 596,989.69
  4. Step 4: Simplify right side
    384,553.69x = 356,396,686,981.35
  5. Step 5: Solve for x
    x = 356,396,686,981.35/384,553.69
  6. Step 6: Final answer
    x = 926,780.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.