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Finding the Third Proportional to 608,502 and 945,941

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Solution

The third proportional to 608,502 and 945,941 is: 1,470,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,502 : 945,941 = 945,941 : x
  2. Step 2: Convert to fraction form
    608,502/945,941 = 945,941/x
  3. Step 3: Cross multiply
    608,502x = 945,941 × 945,941
  4. Step 4: Simplify right side
    608,502x = 894,804,375,481
  5. Step 5: Solve for x
    x = 894,804,375,481/608,502
  6. Step 6: Final answer
    x = 1,470,503.59

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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.