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Finding the Third Proportional to 427,660 and 597,895

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Solution

The third proportional to 427,660 and 597,895 is: 835,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,660 : 597,895 = 597,895 : x
  2. Step 2: Convert to fraction form
    427,660/597,895 = 597,895/x
  3. Step 3: Cross multiply
    427,660x = 597,895 × 597,895
  4. Step 4: Simplify right side
    427,660x = 357,478,431,025
  5. Step 5: Solve for x
    x = 357,478,431,025/427,660
  6. Step 6: Final answer
    x = 835,894.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.