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Finding the Third Proportional to 387,811 and 595,893

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Solution

The third proportional to 387,811 and 595,893 is: 915,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,811 : 595,893 = 595,893 : x
  2. Step 2: Convert to fraction form
    387,811/595,893 = 595,893/x
  3. Step 3: Cross multiply
    387,811x = 595,893 × 595,893
  4. Step 4: Simplify right side
    387,811x = 355,088,467,449
  5. Step 5: Solve for x
    x = 355,088,467,449/387,811
  6. Step 6: Final answer
    x = 915,622.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.