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Finding the Third Proportional to 493,104 and 722,088

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Solution

The third proportional to 493,104 and 722,088 is: 1,057,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,104 : 722,088 = 722,088 : x
  2. Step 2: Convert to fraction form
    493,104/722,088 = 722,088/x
  3. Step 3: Cross multiply
    493,104x = 722,088 × 722,088
  4. Step 4: Simplify right side
    493,104x = 521,411,079,744
  5. Step 5: Solve for x
    x = 521,411,079,744/493,104
  6. Step 6: Final answer
    x = 1,057,405.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.