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Finding the Third Proportional to 346,396.69 and 744,363.38

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Solution

The third proportional to 346,396.69 and 744,363.38 is: 1,599,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,396.69 : 744,363.38 = 744,363.38 : x
  2. Step 2: Convert to fraction form
    346,396.69/744,363.38 = 744,363.38/x
  3. Step 3: Cross multiply
    346,396.69x = 744,363.38 × 744,363.38
  4. Step 4: Simplify right side
    346,396.69x = 554,076,834,041.39
  5. Step 5: Solve for x
    x = 554,076,834,041.39/346,396.69
  6. Step 6: Final answer
    x = 1,599,544.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.