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Finding the Third Proportional to 406,503 and 603,861.75

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Solution

The third proportional to 406,503 and 603,861.75 is: 897,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,503 : 603,861.75 = 603,861.75 : x
  2. Step 2: Convert to fraction form
    406,503/603,861.75 = 603,861.75/x
  3. Step 3: Cross multiply
    406,503x = 603,861.75 × 603,861.75
  4. Step 4: Simplify right side
    406,503x = 364,649,013,113.06
  5. Step 5: Solve for x
    x = 364,649,013,113.06/406,503
  6. Step 6: Final answer
    x = 897,038.92

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Why These Related Problems?

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