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Finding the Third Proportional to 317,084.63 and 491,072.63

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Solution

The third proportional to 317,084.63 and 491,072.63 is: 760,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,084.63 : 491,072.63 = 491,072.63 : x
  2. Step 2: Convert to fraction form
    317,084.63/491,072.63 = 491,072.63/x
  3. Step 3: Cross multiply
    317,084.63x = 491,072.63 × 491,072.63
  4. Step 4: Simplify right side
    317,084.63x = 241,152,323,024.39
  5. Step 5: Solve for x
    x = 241,152,323,024.39/317,084.63
  6. Step 6: Final answer
    x = 760,529.85

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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.