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Finding the Third Proportional to 543,235 and 859,997

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Solution

The third proportional to 543,235 and 859,997 is: 1,361,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,235 : 859,997 = 859,997 : x
  2. Step 2: Convert to fraction form
    543,235/859,997 = 859,997/x
  3. Step 3: Cross multiply
    543,235x = 859,997 × 859,997
  4. Step 4: Simplify right side
    543,235x = 739,594,840,009
  5. Step 5: Solve for x
    x = 739,594,840,009/543,235
  6. Step 6: Final answer
    x = 1,361,463.90

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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.