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Finding the Third Proportional to 732,336.75 and 1,108,832.63

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Solution

The third proportional to 732,336.75 and 1,108,832.63 is: 1,678,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,336.75 : 1,108,832.63 = 1,108,832.63 : x
  2. Step 2: Convert to fraction form
    732,336.75/1,108,832.63 = 1,108,832.63/x
  3. Step 3: Cross multiply
    732,336.75x = 1,108,832.63 × 1,108,832.63
  4. Step 4: Simplify right side
    732,336.75x = 1,229,509,790,264.39
  5. Step 5: Solve for x
    x = 1,229,509,790,264.39/732,336.75
  6. Step 6: Final answer
    x = 1,678,885.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.