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Finding the Third Proportional to 317,129.50 and 434,870

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Solution

The third proportional to 317,129.50 and 434,870 is: 596,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,129.50 : 434,870 = 434,870 : x
  2. Step 2: Convert to fraction form
    317,129.50/434,870 = 434,870/x
  3. Step 3: Cross multiply
    317,129.50x = 434,870 × 434,870
  4. Step 4: Simplify right side
    317,129.50x = 189,111,916,900
  5. Step 5: Solve for x
    x = 189,111,916,900/317,129.50
  6. Step 6: Final answer
    x = 596,323.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.