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Finding the Third Proportional to 225,006 and 328,623.50

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Solution

The third proportional to 225,006 and 328,623.50 is: 479,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,006 : 328,623.50 = 328,623.50 : x
  2. Step 2: Convert to fraction form
    225,006/328,623.50 = 328,623.50/x
  3. Step 3: Cross multiply
    225,006x = 328,623.50 × 328,623.50
  4. Step 4: Simplify right side
    225,006x = 107,993,404,752.25
  5. Step 5: Solve for x
    x = 107,993,404,752.25/225,006
  6. Step 6: Final answer
    x = 479,957.89

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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.