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Finding the Third Proportional to 346,396.75 and 744,363.50

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Solution

The third proportional to 346,396.75 and 744,363.50 is: 1,599,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,396.75 : 744,363.50 = 744,363.50 : x
  2. Step 2: Convert to fraction form
    346,396.75/744,363.50 = 744,363.50/x
  3. Step 3: Cross multiply
    346,396.75x = 744,363.50 × 744,363.50
  4. Step 4: Simplify right side
    346,396.75x = 554,077,020,132.25
  5. Step 5: Solve for x
    x = 554,077,020,132.25/346,396.75
  6. Step 6: Final answer
    x = 1,599,544.51

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Why These Related Problems?

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