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Finding the Third Proportional to 478,965 and 798,243.75

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Solution

The third proportional to 478,965 and 798,243.75 is: 1,330,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,965 : 798,243.75 = 798,243.75 : x
  2. Step 2: Convert to fraction form
    478,965/798,243.75 = 798,243.75/x
  3. Step 3: Cross multiply
    478,965x = 798,243.75 × 798,243.75
  4. Step 4: Simplify right side
    478,965x = 637,193,084,414.06
  5. Step 5: Solve for x
    x = 637,193,084,414.06/478,965
  6. Step 6: Final answer
    x = 1,330,354.17

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.