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Finding the Third Proportional to 544,178 and 857,997

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Solution

The third proportional to 544,178 and 857,997 is: 1,352,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,178 : 857,997 = 857,997 : x
  2. Step 2: Convert to fraction form
    544,178/857,997 = 857,997/x
  3. Step 3: Cross multiply
    544,178x = 857,997 × 857,997
  4. Step 4: Simplify right side
    544,178x = 736,158,852,009
  5. Step 5: Solve for x
    x = 736,158,852,009/544,178
  6. Step 6: Final answer
    x = 1,352,790.54

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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.