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Finding the Third Proportional to 403,647 and 849,115.50

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Solution

The third proportional to 403,647 and 849,115.50 is: 1,786,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,647 : 849,115.50 = 849,115.50 : x
  2. Step 2: Convert to fraction form
    403,647/849,115.50 = 849,115.50/x
  3. Step 3: Cross multiply
    403,647x = 849,115.50 × 849,115.50
  4. Step 4: Simplify right side
    403,647x = 720,997,132,340.25
  5. Step 5: Solve for x
    x = 720,997,132,340.25/403,647
  6. Step 6: Final answer
    x = 1,786,207.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.