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Finding the Third Proportional to 403,096.50 and 609,855.75

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Solution

The third proportional to 403,096.50 and 609,855.75 is: 922,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,096.50 : 609,855.75 = 609,855.75 : x
  2. Step 2: Convert to fraction form
    403,096.50/609,855.75 = 609,855.75/x
  3. Step 3: Cross multiply
    403,096.50x = 609,855.75 × 609,855.75
  4. Step 4: Simplify right side
    403,096.50x = 371,924,035,808.06
  5. Step 5: Solve for x
    x = 371,924,035,808.06/403,096.50
  6. Step 6: Final answer
    x = 922,667.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.