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Finding the Third Proportional to 628,960 and 837,978

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Solution

The third proportional to 628,960 and 837,978 is: 1,116,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,960 : 837,978 = 837,978 : x
  2. Step 2: Convert to fraction form
    628,960/837,978 = 837,978/x
  3. Step 3: Cross multiply
    628,960x = 837,978 × 837,978
  4. Step 4: Simplify right side
    628,960x = 702,207,128,484
  5. Step 5: Solve for x
    x = 702,207,128,484/628,960
  6. Step 6: Final answer
    x = 1,116,457.53

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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.