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Finding the Third Proportional to 317,083.50 and 490,764

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Solution

The third proportional to 317,083.50 and 490,764 is: 759,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,083.50 : 490,764 = 490,764 : x
  2. Step 2: Convert to fraction form
    317,083.50/490,764 = 490,764/x
  3. Step 3: Cross multiply
    317,083.50x = 490,764 × 490,764
  4. Step 4: Simplify right side
    317,083.50x = 240,849,303,696
  5. Step 5: Solve for x
    x = 240,849,303,696/317,083.50
  6. Step 6: Final answer
    x = 759,576.91

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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.