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Finding the Third Proportional to 340,153.50 and 732,790.50

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Solution

The third proportional to 340,153.50 and 732,790.50 is: 1,578,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,153.50 : 732,790.50 = 732,790.50 : x
  2. Step 2: Convert to fraction form
    340,153.50/732,790.50 = 732,790.50/x
  3. Step 3: Cross multiply
    340,153.50x = 732,790.50 × 732,790.50
  4. Step 4: Simplify right side
    340,153.50x = 536,981,916,890.25
  5. Step 5: Solve for x
    x = 536,981,916,890.25/340,153.50
  6. Step 6: Final answer
    x = 1,578,645.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.