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Finding the Third Proportional to 367,047 and 534,592

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Solution

The third proportional to 367,047 and 534,592 is: 778,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,047 : 534,592 = 534,592 : x
  2. Step 2: Convert to fraction form
    367,047/534,592 = 534,592/x
  3. Step 3: Cross multiply
    367,047x = 534,592 × 534,592
  4. Step 4: Simplify right side
    367,047x = 285,788,606,464
  5. Step 5: Solve for x
    x = 285,788,606,464/367,047
  6. Step 6: Final answer
    x = 778,615.84

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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.