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Finding the Third Proportional to 315,226.69 and 652,884.05

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Solution

The third proportional to 315,226.69 and 652,884.05 is: 1,352,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,226.69 : 652,884.05 = 652,884.05 : x
  2. Step 2: Convert to fraction form
    315,226.69/652,884.05 = 652,884.05/x
  3. Step 3: Cross multiply
    315,226.69x = 652,884.05 × 652,884.05
  4. Step 4: Simplify right side
    315,226.69x = 426,257,578,663.88
  5. Step 5: Solve for x
    x = 426,257,578,663.88/315,226.69
  6. Step 6: Final answer
    x = 1,352,225.54

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.