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Finding the Third Proportional to 447,227.16 and 712,329.19

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Solution

The third proportional to 447,227.16 and 712,329.19 is: 1,134,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,227.16 : 712,329.19 = 712,329.19 : x
  2. Step 2: Convert to fraction form
    447,227.16/712,329.19 = 712,329.19/x
  3. Step 3: Cross multiply
    447,227.16x = 712,329.19 × 712,329.19
  4. Step 4: Simplify right side
    447,227.16x = 507,412,871,364.41
  5. Step 5: Solve for x
    x = 507,412,871,364.41/447,227.16
  6. Step 6: Final answer
    x = 1,134,575.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.