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Finding the Third Proportional to 550,048 and 850,974

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Solution

The third proportional to 550,048 and 850,974 is: 1,316,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,048 : 850,974 = 850,974 : x
  2. Step 2: Convert to fraction form
    550,048/850,974 = 850,974/x
  3. Step 3: Cross multiply
    550,048x = 850,974 × 850,974
  4. Step 4: Simplify right side
    550,048x = 724,156,748,676
  5. Step 5: Solve for x
    x = 724,156,748,676/550,048
  6. Step 6: Final answer
    x = 1,316,533.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.