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Finding the Third Proportional to 481,802 and 749,391

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Solution

The third proportional to 481,802 and 749,391 is: 1,165,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,802 : 749,391 = 749,391 : x
  2. Step 2: Convert to fraction form
    481,802/749,391 = 749,391/x
  3. Step 3: Cross multiply
    481,802x = 749,391 × 749,391
  4. Step 4: Simplify right side
    481,802x = 561,586,870,881
  5. Step 5: Solve for x
    x = 561,586,870,881/481,802
  6. Step 6: Final answer
    x = 1,165,596.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.