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Finding the Third Proportional to 286,240.50 and 417,872.25

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Solution

The third proportional to 286,240.50 and 417,872.25 is: 610,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,240.50 : 417,872.25 = 417,872.25 : x
  2. Step 2: Convert to fraction form
    286,240.50/417,872.25 = 417,872.25/x
  3. Step 3: Cross multiply
    286,240.50x = 417,872.25 × 417,872.25
  4. Step 4: Simplify right side
    286,240.50x = 174,617,217,320.06
  5. Step 5: Solve for x
    x = 174,617,217,320.06/286,240.50
  6. Step 6: Final answer
    x = 610,036.73

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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.