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Finding the Third Proportional to 347,770.13 and 732,903.19

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Solution

The third proportional to 347,770.13 and 732,903.19 is: 1,544,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,770.13 : 732,903.19 = 732,903.19 : x
  2. Step 2: Convert to fraction form
    347,770.13/732,903.19 = 732,903.19/x
  3. Step 3: Cross multiply
    347,770.13x = 732,903.19 × 732,903.19
  4. Step 4: Simplify right side
    347,770.13x = 537,147,082,247.66
  5. Step 5: Solve for x
    x = 537,147,082,247.66/347,770.13
  6. Step 6: Final answer
    x = 1,544,546.36

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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.