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Finding the Third Proportional to 388,420 and 596,161

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Solution

The third proportional to 388,420 and 596,161 is: 915,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,420 : 596,161 = 596,161 : x
  2. Step 2: Convert to fraction form
    388,420/596,161 = 596,161/x
  3. Step 3: Cross multiply
    388,420x = 596,161 × 596,161
  4. Step 4: Simplify right side
    388,420x = 355,407,937,921
  5. Step 5: Solve for x
    x = 355,407,937,921/388,420
  6. Step 6: Final answer
    x = 915,009.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.