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Finding the Third Proportional to 450,180.38 and 686,703.56

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Solution

The third proportional to 450,180.38 and 686,703.56 is: 1,047,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,180.38 : 686,703.56 = 686,703.56 : x
  2. Step 2: Convert to fraction form
    450,180.38/686,703.56 = 686,703.56/x
  3. Step 3: Cross multiply
    450,180.38x = 686,703.56 × 686,703.56
  4. Step 4: Simplify right side
    450,180.38x = 471,561,782,750.19
  5. Step 5: Solve for x
    x = 471,561,782,750.19/450,180.38
  6. Step 6: Final answer
    x = 1,047,495.20

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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.