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Finding the Third Proportional to 306,780.75 and 652,924.13

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Solution

The third proportional to 306,780.75 and 652,924.13 is: 1,389,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,780.75 : 652,924.13 = 652,924.13 : x
  2. Step 2: Convert to fraction form
    306,780.75/652,924.13 = 652,924.13/x
  3. Step 3: Cross multiply
    306,780.75x = 652,924.13 × 652,924.13
  4. Step 4: Simplify right side
    306,780.75x = 426,309,913,007.02
  5. Step 5: Solve for x
    x = 426,309,913,007.02/306,780.75
  6. Step 6: Final answer
    x = 1,389,624.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.