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Finding the Third Proportional to 544,176 and 857,994

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Solution

The third proportional to 544,176 and 857,994 is: 1,352,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,176 : 857,994 = 857,994 : x
  2. Step 2: Convert to fraction form
    544,176/857,994 = 857,994/x
  3. Step 3: Cross multiply
    544,176x = 857,994 × 857,994
  4. Step 4: Simplify right side
    544,176x = 736,153,704,036
  5. Step 5: Solve for x
    x = 736,153,704,036/544,176
  6. Step 6: Final answer
    x = 1,352,786.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.