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Finding the Third Proportional to 364,108 and 565,331.50

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Solution

The third proportional to 364,108 and 565,331.50 is: 877,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,108 : 565,331.50 = 565,331.50 : x
  2. Step 2: Convert to fraction form
    364,108/565,331.50 = 565,331.50/x
  3. Step 3: Cross multiply
    364,108x = 565,331.50 × 565,331.50
  4. Step 4: Simplify right side
    364,108x = 319,599,704,892.25
  5. Step 5: Solve for x
    x = 319,599,704,892.25/364,108
  6. Step 6: Final answer
    x = 877,760.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.