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Finding the Third Proportional to 663,224.25 and 1,432,345.50

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Solution

The third proportional to 663,224.25 and 1,432,345.50 is: 3,093,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,224.25 : 1,432,345.50 = 1,432,345.50 : x
  2. Step 2: Convert to fraction form
    663,224.25/1,432,345.50 = 1,432,345.50/x
  3. Step 3: Cross multiply
    663,224.25x = 1,432,345.50 × 1,432,345.50
  4. Step 4: Simplify right side
    663,224.25x = 2,051,613,631,370.25
  5. Step 5: Solve for x
    x = 2,051,613,631,370.25/663,224.25
  6. Step 6: Final answer
    x = 3,093,393.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.