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Finding the Third Proportional to 388,764 and 580,148

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Solution

The third proportional to 388,764 and 580,148 is: 865,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,764 : 580,148 = 580,148 : x
  2. Step 2: Convert to fraction form
    388,764/580,148 = 580,148/x
  3. Step 3: Cross multiply
    388,764x = 580,148 × 580,148
  4. Step 4: Simplify right side
    388,764x = 336,571,701,904
  5. Step 5: Solve for x
    x = 336,571,701,904/388,764
  6. Step 6: Final answer
    x = 865,748.12

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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.