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Finding the Third Proportional to 388,502 and 600,006

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Solution

The third proportional to 388,502 and 600,006 is: 926,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,502 : 600,006 = 600,006 : x
  2. Step 2: Convert to fraction form
    388,502/600,006 = 600,006/x
  3. Step 3: Cross multiply
    388,502x = 600,006 × 600,006
  4. Step 4: Simplify right side
    388,502x = 360,007,200,036
  5. Step 5: Solve for x
    x = 360,007,200,036/388,502
  6. Step 6: Final answer
    x = 926,654.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.