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Finding the Third Proportional to 367,089 and 534,655

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Solution

The third proportional to 367,089 and 534,655 is: 778,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,089 : 534,655 = 534,655 : x
  2. Step 2: Convert to fraction form
    367,089/534,655 = 534,655/x
  3. Step 3: Cross multiply
    367,089x = 534,655 × 534,655
  4. Step 4: Simplify right side
    367,089x = 285,855,969,025
  5. Step 5: Solve for x
    x = 285,855,969,025/367,089
  6. Step 6: Final answer
    x = 778,710.26

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