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Finding the Third Proportional to 429,451 and 631,054

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Solution

The third proportional to 429,451 and 631,054 is: 927,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,451 : 631,054 = 631,054 : x
  2. Step 2: Convert to fraction form
    429,451/631,054 = 631,054/x
  3. Step 3: Cross multiply
    429,451x = 631,054 × 631,054
  4. Step 4: Simplify right side
    429,451x = 398,229,150,916
  5. Step 5: Solve for x
    x = 398,229,150,916/429,451
  6. Step 6: Final answer
    x = 927,298.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.