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Finding the Third Proportional to 333,939 and 517,162.50

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Solution

The third proportional to 333,939 and 517,162.50 is: 800,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,939 : 517,162.50 = 517,162.50 : x
  2. Step 2: Convert to fraction form
    333,939/517,162.50 = 517,162.50/x
  3. Step 3: Cross multiply
    333,939x = 517,162.50 × 517,162.50
  4. Step 4: Simplify right side
    333,939x = 267,457,051,406.25
  5. Step 5: Solve for x
    x = 267,457,051,406.25/333,939
  6. Step 6: Final answer
    x = 800,915.89

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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.