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Finding the Third Proportional to 288,415.27 and 447,742.27

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Solution

The third proportional to 288,415.27 and 447,742.27 is: 695,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,415.27 : 447,742.27 = 447,742.27 : x
  2. Step 2: Convert to fraction form
    288,415.27/447,742.27 = 447,742.27/x
  3. Step 3: Cross multiply
    288,415.27x = 447,742.27 × 447,742.27
  4. Step 4: Simplify right side
    288,415.27x = 200,473,136,427.01
  5. Step 5: Solve for x
    x = 200,473,136,427.01/288,415.27
  6. Step 6: Final answer
    x = 695,085.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.