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Finding the Third Proportional to 429,855.50 and 910,875

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Solution

The third proportional to 429,855.50 and 910,875 is: 1,930,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,855.50 : 910,875 = 910,875 : x
  2. Step 2: Convert to fraction form
    429,855.50/910,875 = 910,875/x
  3. Step 3: Cross multiply
    429,855.50x = 910,875 × 910,875
  4. Step 4: Simplify right side
    429,855.50x = 829,693,265,625
  5. Step 5: Solve for x
    x = 829,693,265,625/429,855.50
  6. Step 6: Final answer
    x = 1,930,167.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.