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Finding the Third Proportional to 262,883 and 393,877

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Solution

The third proportional to 262,883 and 393,877 is: 590,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,883 : 393,877 = 393,877 : x
  2. Step 2: Convert to fraction form
    262,883/393,877 = 393,877/x
  3. Step 3: Cross multiply
    262,883x = 393,877 × 393,877
  4. Step 4: Simplify right side
    262,883x = 155,139,091,129
  5. Step 5: Solve for x
    x = 155,139,091,129/262,883
  6. Step 6: Final answer
    x = 590,145.01

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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.