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Finding the Third Proportional to 347,768.44 and 732,893.06

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Solution

The third proportional to 347,768.44 and 732,893.06 is: 1,544,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,768.44 : 732,893.06 = 732,893.06 : x
  2. Step 2: Convert to fraction form
    347,768.44/732,893.06 = 732,893.06/x
  3. Step 3: Cross multiply
    347,768.44x = 732,893.06 × 732,893.06
  4. Step 4: Simplify right side
    347,768.44x = 537,132,241,060.63
  5. Step 5: Solve for x
    x = 537,132,241,060.63/347,768.44
  6. Step 6: Final answer
    x = 1,544,511.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.