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Finding the Third Proportional to 320,364 and 704,677.50

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Solution

The third proportional to 320,364 and 704,677.50 is: 1,550,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,364 : 704,677.50 = 704,677.50 : x
  2. Step 2: Convert to fraction form
    320,364/704,677.50 = 704,677.50/x
  3. Step 3: Cross multiply
    320,364x = 704,677.50 × 704,677.50
  4. Step 4: Simplify right side
    320,364x = 496,570,379,006.25
  5. Step 5: Solve for x
    x = 496,570,379,006.25/320,364
  6. Step 6: Final answer
    x = 1,550,019.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.