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Finding the Third Proportional to 450,221.06 and 686,768.06

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Solution

The third proportional to 450,221.06 and 686,768.06 is: 1,047,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,221.06 : 686,768.06 = 686,768.06 : x
  2. Step 2: Convert to fraction form
    450,221.06/686,768.06 = 686,768.06/x
  3. Step 3: Cross multiply
    450,221.06x = 686,768.06 × 686,768.06
  4. Step 4: Simplify right side
    450,221.06x = 471,650,371,670.00
  5. Step 5: Solve for x
    x = 471,650,371,670.00/450,221.06
  6. Step 6: Final answer
    x = 1,047,597.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.