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Finding the Third Proportional to 429,471 and 970,294.50

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Solution

The third proportional to 429,471 and 970,294.50 is: 2,192,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,471 : 970,294.50 = 970,294.50 : x
  2. Step 2: Convert to fraction form
    429,471/970,294.50 = 970,294.50/x
  3. Step 3: Cross multiply
    429,471x = 970,294.50 × 970,294.50
  4. Step 4: Simplify right side
    429,471x = 941,471,416,730.25
  5. Step 5: Solve for x
    x = 941,471,416,730.25/429,471
  6. Step 6: Final answer
    x = 2,192,165.28

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.