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Finding the Third Proportional to 406,401.75 and 603,720

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Solution

The third proportional to 406,401.75 and 603,720 is: 896,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,401.75 : 603,720 = 603,720 : x
  2. Step 2: Convert to fraction form
    406,401.75/603,720 = 603,720/x
  3. Step 3: Cross multiply
    406,401.75x = 603,720 × 603,720
  4. Step 4: Simplify right side
    406,401.75x = 364,477,838,400
  5. Step 5: Solve for x
    x = 364,477,838,400/406,401.75
  6. Step 6: Final answer
    x = 896,841.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.