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Finding the Third Proportional to 388,864 and 609,216

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Solution

The third proportional to 388,864 and 609,216 is: 954,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,864 : 609,216 = 609,216 : x
  2. Step 2: Convert to fraction form
    388,864/609,216 = 609,216/x
  3. Step 3: Cross multiply
    388,864x = 609,216 × 609,216
  4. Step 4: Simplify right side
    388,864x = 371,144,134,656
  5. Step 5: Solve for x
    x = 371,144,134,656/388,864
  6. Step 6: Final answer
    x = 954,431.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.