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Finding the Third Proportional to 412,916.63 and 601,399.13

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Solution

The third proportional to 412,916.63 and 601,399.13 is: 875,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,916.63 : 601,399.13 = 601,399.13 : x
  2. Step 2: Convert to fraction form
    412,916.63/601,399.13 = 601,399.13/x
  3. Step 3: Cross multiply
    412,916.63x = 601,399.13 × 601,399.13
  4. Step 4: Simplify right side
    412,916.63x = 361,680,907,550.77
  5. Step 5: Solve for x
    x = 361,680,907,550.77/412,916.63
  6. Step 6: Final answer
    x = 875,917.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.