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Finding the Third Proportional to 550,411.50 and 842,026.50

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Solution

The third proportional to 550,411.50 and 842,026.50 is: 1,288,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,411.50 : 842,026.50 = 842,026.50 : x
  2. Step 2: Convert to fraction form
    550,411.50/842,026.50 = 842,026.50/x
  3. Step 3: Cross multiply
    550,411.50x = 842,026.50 × 842,026.50
  4. Step 4: Simplify right side
    550,411.50x = 709,008,626,702.25
  5. Step 5: Solve for x
    x = 709,008,626,702.25/550,411.50
  6. Step 6: Final answer
    x = 1,288,142.83

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