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Finding the Third Proportional to 408,381.75 and 595,005.75

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Solution

The third proportional to 408,381.75 and 595,005.75 is: 866,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,381.75 : 595,005.75 = 595,005.75 : x
  2. Step 2: Convert to fraction form
    408,381.75/595,005.75 = 595,005.75/x
  3. Step 3: Cross multiply
    408,381.75x = 595,005.75 × 595,005.75
  4. Step 4: Simplify right side
    408,381.75x = 354,031,842,533.06
  5. Step 5: Solve for x
    x = 354,031,842,533.06/408,381.75
  6. Step 6: Final answer
    x = 866,913.97

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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.