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Finding the Third Proportional to 393,948 and 590,931

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Solution

The third proportional to 393,948 and 590,931 is: 886,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,948 : 590,931 = 590,931 : x
  2. Step 2: Convert to fraction form
    393,948/590,931 = 590,931/x
  3. Step 3: Cross multiply
    393,948x = 590,931 × 590,931
  4. Step 4: Simplify right side
    393,948x = 349,199,446,761
  5. Step 5: Solve for x
    x = 349,199,446,761/393,948
  6. Step 6: Final answer
    x = 886,410.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.