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Finding the Third Proportional to 207,047.25 and 446,715

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Solution

The third proportional to 207,047.25 and 446,715 is: 963,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,047.25 : 446,715 = 446,715 : x
  2. Step 2: Convert to fraction form
    207,047.25/446,715 = 446,715/x
  3. Step 3: Cross multiply
    207,047.25x = 446,715 × 446,715
  4. Step 4: Simplify right side
    207,047.25x = 199,554,291,225
  5. Step 5: Solve for x
    x = 199,554,291,225/207,047.25
  6. Step 6: Final answer
    x = 963,810.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.