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Finding the Third Proportional to 388,033.50 and 579,660.50

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Solution

The third proportional to 388,033.50 and 579,660.50 is: 865,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,033.50 : 579,660.50 = 579,660.50 : x
  2. Step 2: Convert to fraction form
    388,033.50/579,660.50 = 579,660.50/x
  3. Step 3: Cross multiply
    388,033.50x = 579,660.50 × 579,660.50
  4. Step 4: Simplify right side
    388,033.50x = 336,006,295,260.25
  5. Step 5: Solve for x
    x = 336,006,295,260.25/388,033.50
  6. Step 6: Final answer
    x = 865,920.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.