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Finding the Third Proportional to 429,009 and 631,119

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Solution

The third proportional to 429,009 and 631,119 is: 928,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,009 : 631,119 = 631,119 : x
  2. Step 2: Convert to fraction form
    429,009/631,119 = 631,119/x
  3. Step 3: Cross multiply
    429,009x = 631,119 × 631,119
  4. Step 4: Simplify right side
    429,009x = 398,311,192,161
  5. Step 5: Solve for x
    x = 398,311,192,161/429,009
  6. Step 6: Final answer
    x = 928,444.84

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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.