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Finding the Third Proportional to 388,002 and 598,614

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Solution

The third proportional to 388,002 and 598,614 is: 923,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,002 : 598,614 = 598,614 : x
  2. Step 2: Convert to fraction form
    388,002/598,614 = 598,614/x
  3. Step 3: Cross multiply
    388,002x = 598,614 × 598,614
  4. Step 4: Simplify right side
    388,002x = 358,338,720,996
  5. Step 5: Solve for x
    x = 358,338,720,996/388,002
  6. Step 6: Final answer
    x = 923,548.64

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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.