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Finding the Third Proportional to 393,795 and 841,567

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Solution

The third proportional to 393,795 and 841,567 is: 1,798,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,795 : 841,567 = 841,567 : x
  2. Step 2: Convert to fraction form
    393,795/841,567 = 841,567/x
  3. Step 3: Cross multiply
    393,795x = 841,567 × 841,567
  4. Step 4: Simplify right side
    393,795x = 708,235,015,489
  5. Step 5: Solve for x
    x = 708,235,015,489/393,795
  6. Step 6: Final answer
    x = 1,798,486.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.