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Finding the Third Proportional to 353,876.63 and 769,960.13

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Solution

The third proportional to 353,876.63 and 769,960.13 is: 1,675,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,876.63 : 769,960.13 = 769,960.13 : x
  2. Step 2: Convert to fraction form
    353,876.63/769,960.13 = 769,960.13/x
  3. Step 3: Cross multiply
    353,876.63x = 769,960.13 × 769,960.13
  4. Step 4: Simplify right side
    353,876.63x = 592,838,594,090.02
  5. Step 5: Solve for x
    x = 592,838,594,090.02/353,876.63
  6. Step 6: Final answer
    x = 1,675,269.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.