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Finding the Third Proportional to 429,536.25 and 970,457.63

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Solution

The third proportional to 429,536.25 and 970,457.63 is: 2,192,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,536.25 : 970,457.63 = 970,457.63 : x
  2. Step 2: Convert to fraction form
    429,536.25/970,457.63 = 970,457.63/x
  3. Step 3: Cross multiply
    429,536.25x = 970,457.63 × 970,457.63
  4. Step 4: Simplify right side
    429,536.25x = 941,788,001,920.64
  5. Step 5: Solve for x
    x = 941,788,001,920.64/429,536.25
  6. Step 6: Final answer
    x = 2,192,569.32

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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.