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Finding the Third Proportional to 550,701 and 857,462

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Solution

The third proportional to 550,701 and 857,462 is: 1,335,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,701 : 857,462 = 857,462 : x
  2. Step 2: Convert to fraction form
    550,701/857,462 = 857,462/x
  3. Step 3: Cross multiply
    550,701x = 857,462 × 857,462
  4. Step 4: Simplify right side
    550,701x = 735,241,081,444
  5. Step 5: Solve for x
    x = 735,241,081,444/550,701
  6. Step 6: Final answer
    x = 1,335,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.