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Finding the Third Proportional to 422,829 and 655,141.50

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Solution

The third proportional to 422,829 and 655,141.50 is: 1,015,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,829 : 655,141.50 = 655,141.50 : x
  2. Step 2: Convert to fraction form
    422,829/655,141.50 = 655,141.50/x
  3. Step 3: Cross multiply
    422,829x = 655,141.50 × 655,141.50
  4. Step 4: Simplify right side
    422,829x = 429,210,385,022.25
  5. Step 5: Solve for x
    x = 429,210,385,022.25/422,829
  6. Step 6: Final answer
    x = 1,015,092.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.