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Finding the Third Proportional to 210,327 and 458,716.50

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Solution

The third proportional to 210,327 and 458,716.50 is: 1,000,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,327 : 458,716.50 = 458,716.50 : x
  2. Step 2: Convert to fraction form
    210,327/458,716.50 = 458,716.50/x
  3. Step 3: Cross multiply
    210,327x = 458,716.50 × 458,716.50
  4. Step 4: Simplify right side
    210,327x = 210,420,827,372.25
  5. Step 5: Solve for x
    x = 210,420,827,372.25/210,327
  6. Step 6: Final answer
    x = 1,000,446.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.