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Finding the Third Proportional to 358,913.25 and 788,582.25

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Solution

The third proportional to 358,913.25 and 788,582.25 is: 1,732,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,913.25 : 788,582.25 = 788,582.25 : x
  2. Step 2: Convert to fraction form
    358,913.25/788,582.25 = 788,582.25/x
  3. Step 3: Cross multiply
    358,913.25x = 788,582.25 × 788,582.25
  4. Step 4: Simplify right side
    358,913.25x = 621,861,965,015.06
  5. Step 5: Solve for x
    x = 621,861,965,015.06/358,913.25
  6. Step 6: Final answer
    x = 1,732,624.71

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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.