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Finding the Third Proportional to 318,930.75 and 513,877.50

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Solution

The third proportional to 318,930.75 and 513,877.50 is: 827,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,930.75 : 513,877.50 = 513,877.50 : x
  2. Step 2: Convert to fraction form
    318,930.75/513,877.50 = 513,877.50/x
  3. Step 3: Cross multiply
    318,930.75x = 513,877.50 × 513,877.50
  4. Step 4: Simplify right side
    318,930.75x = 264,070,085,006.25
  5. Step 5: Solve for x
    x = 264,070,085,006.25/318,930.75
  6. Step 6: Final answer
    x = 827,985.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.