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Finding the Third Proportional to 388,026 and 566,967

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Solution

The third proportional to 388,026 and 566,967 is: 828,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,026 : 566,967 = 566,967 : x
  2. Step 2: Convert to fraction form
    388,026/566,967 = 566,967/x
  3. Step 3: Cross multiply
    388,026x = 566,967 × 566,967
  4. Step 4: Simplify right side
    388,026x = 321,451,579,089
  5. Step 5: Solve for x
    x = 321,451,579,089/388,026
  6. Step 6: Final answer
    x = 828,427.94

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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.