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Finding the Third Proportional to 550,393.50 and 839,826

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Solution

The third proportional to 550,393.50 and 839,826 is: 1,281,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,393.50 : 839,826 = 839,826 : x
  2. Step 2: Convert to fraction form
    550,393.50/839,826 = 839,826/x
  3. Step 3: Cross multiply
    550,393.50x = 839,826 × 839,826
  4. Step 4: Simplify right side
    550,393.50x = 705,307,710,276
  5. Step 5: Solve for x
    x = 705,307,710,276/550,393.50
  6. Step 6: Final answer
    x = 1,281,460.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.