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Finding the Third Proportional to 344,773 and 731,014

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Solution

The third proportional to 344,773 and 731,014 is: 1,549,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,773 : 731,014 = 731,014 : x
  2. Step 2: Convert to fraction form
    344,773/731,014 = 731,014/x
  3. Step 3: Cross multiply
    344,773x = 731,014 × 731,014
  4. Step 4: Simplify right side
    344,773x = 534,381,468,196
  5. Step 5: Solve for x
    x = 534,381,468,196/344,773
  6. Step 6: Final answer
    x = 1,549,951.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.