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Finding the Third Proportional to 344,325.94 and 744,751.13

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Solution

The third proportional to 344,325.94 and 744,751.13 is: 1,610,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,325.94 : 744,751.13 = 744,751.13 : x
  2. Step 2: Convert to fraction form
    344,325.94/744,751.13 = 744,751.13/x
  3. Step 3: Cross multiply
    344,325.94x = 744,751.13 × 744,751.13
  4. Step 4: Simplify right side
    344,325.94x = 554,654,238,188.77
  5. Step 5: Solve for x
    x = 554,654,238,188.77/344,325.94
  6. Step 6: Final answer
    x = 1,610,840.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.