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Finding the Third Proportional to 317,398.50 and 430,580.25

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Solution

The third proportional to 317,398.50 and 430,580.25 is: 584,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,398.50 : 430,580.25 = 430,580.25 : x
  2. Step 2: Convert to fraction form
    317,398.50/430,580.25 = 430,580.25/x
  3. Step 3: Cross multiply
    317,398.50x = 430,580.25 × 430,580.25
  4. Step 4: Simplify right side
    317,398.50x = 185,399,351,690.06
  5. Step 5: Solve for x
    x = 185,399,351,690.06/317,398.50
  6. Step 6: Final answer
    x = 584,121.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.