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Finding the Third Proportional to 343,404.56 and 745,903.69

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Solution

The third proportional to 343,404.56 and 745,903.69 is: 1,620,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,404.56 : 745,903.69 = 745,903.69 : x
  2. Step 2: Convert to fraction form
    343,404.56/745,903.69 = 745,903.69/x
  3. Step 3: Cross multiply
    343,404.56x = 745,903.69 × 745,903.69
  4. Step 4: Simplify right side
    343,404.56x = 556,372,311,026.10
  5. Step 5: Solve for x
    x = 556,372,311,026.10/343,404.56
  6. Step 6: Final answer
    x = 1,620,165.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.