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Finding the Third Proportional to 337,685 and 534,715.50

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Solution

The third proportional to 337,685 and 534,715.50 is: 846,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,685 : 534,715.50 = 534,715.50 : x
  2. Step 2: Convert to fraction form
    337,685/534,715.50 = 534,715.50/x
  3. Step 3: Cross multiply
    337,685x = 534,715.50 × 534,715.50
  4. Step 4: Simplify right side
    337,685x = 285,920,665,940.25
  5. Step 5: Solve for x
    x = 285,920,665,940.25/337,685
  6. Step 6: Final answer
    x = 846,708.22

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.