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Finding the Third Proportional to 406,411.50 and 603,733.75

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Solution

The third proportional to 406,411.50 and 603,733.75 is: 896,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,411.50 : 603,733.75 = 603,733.75 : x
  2. Step 2: Convert to fraction form
    406,411.50/603,733.75 = 603,733.75/x
  3. Step 3: Cross multiply
    406,411.50x = 603,733.75 × 603,733.75
  4. Step 4: Simplify right side
    406,411.50x = 364,494,440,889.06
  5. Step 5: Solve for x
    x = 364,494,440,889.06/406,411.50
  6. Step 6: Final answer
    x = 896,860.55

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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.