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Finding the Third Proportional to 388,033 and 566,962

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Solution

The third proportional to 388,033 and 566,962 is: 828,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,033 : 566,962 = 566,962 : x
  2. Step 2: Convert to fraction form
    388,033/566,962 = 566,962/x
  3. Step 3: Cross multiply
    388,033x = 566,962 × 566,962
  4. Step 4: Simplify right side
    388,033x = 321,445,909,444
  5. Step 5: Solve for x
    x = 321,445,909,444/388,033
  6. Step 6: Final answer
    x = 828,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.