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Finding the Third Proportional to 548,485 and 875,856

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Solution

The third proportional to 548,485 and 875,856 is: 1,398,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,485 : 875,856 = 875,856 : x
  2. Step 2: Convert to fraction form
    548,485/875,856 = 875,856/x
  3. Step 3: Cross multiply
    548,485x = 875,856 × 875,856
  4. Step 4: Simplify right side
    548,485x = 767,123,732,736
  5. Step 5: Solve for x
    x = 767,123,732,736/548,485
  6. Step 6: Final answer
    x = 1,398,622.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.