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Finding the Third Proportional to 284,317.50 and 612,699

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Solution

The third proportional to 284,317.50 and 612,699 is: 1,320,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,317.50 : 612,699 = 612,699 : x
  2. Step 2: Convert to fraction form
    284,317.50/612,699 = 612,699/x
  3. Step 3: Cross multiply
    284,317.50x = 612,699 × 612,699
  4. Step 4: Simplify right side
    284,317.50x = 375,400,064,601
  5. Step 5: Solve for x
    x = 375,400,064,601/284,317.50
  6. Step 6: Final answer
    x = 1,320,355.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.