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Finding the Third Proportional to 412,913.25 and 603,434.25

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Solution

The third proportional to 412,913.25 and 603,434.25 is: 881,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,913.25 : 603,434.25 = 603,434.25 : x
  2. Step 2: Convert to fraction form
    412,913.25/603,434.25 = 603,434.25/x
  3. Step 3: Cross multiply
    412,913.25x = 603,434.25 × 603,434.25
  4. Step 4: Simplify right side
    412,913.25x = 364,132,894,073.06
  5. Step 5: Solve for x
    x = 364,132,894,073.06/412,913.25
  6. Step 6: Final answer
    x = 881,862.94

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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.