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Finding the Third Proportional to 429,078.50 and 636,287

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Solution

The third proportional to 429,078.50 and 636,287 is: 943,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,078.50 : 636,287 = 636,287 : x
  2. Step 2: Convert to fraction form
    429,078.50/636,287 = 636,287/x
  3. Step 3: Cross multiply
    429,078.50x = 636,287 × 636,287
  4. Step 4: Simplify right side
    429,078.50x = 404,861,146,369
  5. Step 5: Solve for x
    x = 404,861,146,369/429,078.50
  6. Step 6: Final answer
    x = 943,559.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.