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Finding the Third Proportional to 478,926 and 639,066

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Solution

The third proportional to 478,926 and 639,066 is: 852,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,926 : 639,066 = 639,066 : x
  2. Step 2: Convert to fraction form
    478,926/639,066 = 639,066/x
  3. Step 3: Cross multiply
    478,926x = 639,066 × 639,066
  4. Step 4: Simplify right side
    478,926x = 408,405,352,356
  5. Step 5: Solve for x
    x = 408,405,352,356/478,926
  6. Step 6: Final answer
    x = 852,752.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.