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Finding the Third Proportional to 420,167 and 612,196.50

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Solution

The third proportional to 420,167 and 612,196.50 is: 891,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,167 : 612,196.50 = 612,196.50 : x
  2. Step 2: Convert to fraction form
    420,167/612,196.50 = 612,196.50/x
  3. Step 3: Cross multiply
    420,167x = 612,196.50 × 612,196.50
  4. Step 4: Simplify right side
    420,167x = 374,784,554,612.25
  5. Step 5: Solve for x
    x = 374,784,554,612.25/420,167
  6. Step 6: Final answer
    x = 891,989.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.