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Finding the Third Proportional to 344,781 and 731,029.50

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Solution

The third proportional to 344,781 and 731,029.50 is: 1,549,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,781 : 731,029.50 = 731,029.50 : x
  2. Step 2: Convert to fraction form
    344,781/731,029.50 = 731,029.50/x
  3. Step 3: Cross multiply
    344,781x = 731,029.50 × 731,029.50
  4. Step 4: Simplify right side
    344,781x = 534,404,129,870.25
  5. Step 5: Solve for x
    x = 534,404,129,870.25/344,781
  6. Step 6: Final answer
    x = 1,549,981.38

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