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Finding the Third Proportional to 207,829.13 and 449,816.63

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Solution

The third proportional to 207,829.13 and 449,816.63 is: 973,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829.13 : 449,816.63 = 449,816.63 : x
  2. Step 2: Convert to fraction form
    207,829.13/449,816.63 = 449,816.63/x
  3. Step 3: Cross multiply
    207,829.13x = 449,816.63 × 449,816.63
  4. Step 4: Simplify right side
    207,829.13x = 202,334,996,126.39
  5. Step 5: Solve for x
    x = 202,334,996,126.39/207,829.13
  6. Step 6: Final answer
    x = 973,564.20

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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.