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Finding the Third Proportional to 343,493.16 and 732,635.72

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Solution

The third proportional to 343,493.16 and 732,635.72 is: 1,562,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,493.16 : 732,635.72 = 732,635.72 : x
  2. Step 2: Convert to fraction form
    343,493.16/732,635.72 = 732,635.72/x
  3. Step 3: Cross multiply
    343,493.16x = 732,635.72 × 732,635.72
  4. Step 4: Simplify right side
    343,493.16x = 536,755,096,388.33
  5. Step 5: Solve for x
    x = 536,755,096,388.33/343,493.16
  6. Step 6: Final answer
    x = 1,562,636.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.