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Finding the Third Proportional to 455,683.50 and 997,146

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Solution

The third proportional to 455,683.50 and 997,146 is: 2,181,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,683.50 : 997,146 = 997,146 : x
  2. Step 2: Convert to fraction form
    455,683.50/997,146 = 997,146/x
  3. Step 3: Cross multiply
    455,683.50x = 997,146 × 997,146
  4. Step 4: Simplify right side
    455,683.50x = 994,300,145,316
  5. Step 5: Solve for x
    x = 994,300,145,316/455,683.50
  6. Step 6: Final answer
    x = 2,181,997.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.