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Finding the Third Proportional to 334,646.44 and 691,795.69

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Solution

The third proportional to 334,646.44 and 691,795.69 is: 1,430,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,646.44 : 691,795.69 = 691,795.69 : x
  2. Step 2: Convert to fraction form
    334,646.44/691,795.69 = 691,795.69/x
  3. Step 3: Cross multiply
    334,646.44x = 691,795.69 × 691,795.69
  4. Step 4: Simplify right side
    334,646.44x = 478,581,273,243.60
  5. Step 5: Solve for x
    x = 478,581,273,243.60/334,646.44
  6. Step 6: Final answer
    x = 1,430,110.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.