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Finding the Third Proportional to 364,014 and 534,114

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Solution

The third proportional to 364,014 and 534,114 is: 783,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,014 : 534,114 = 534,114 : x
  2. Step 2: Convert to fraction form
    364,014/534,114 = 534,114/x
  3. Step 3: Cross multiply
    364,014x = 534,114 × 534,114
  4. Step 4: Simplify right side
    364,014x = 285,277,764,996
  5. Step 5: Solve for x
    x = 285,277,764,996/364,014
  6. Step 6: Final answer
    x = 783,699.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.