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Finding the Third Proportional to 530,641.25 and 816,608.44

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Solution

The third proportional to 530,641.25 and 816,608.44 is: 1,256,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,641.25 : 816,608.44 = 816,608.44 : x
  2. Step 2: Convert to fraction form
    530,641.25/816,608.44 = 816,608.44/x
  3. Step 3: Cross multiply
    530,641.25x = 816,608.44 × 816,608.44
  4. Step 4: Simplify right side
    530,641.25x = 666,849,340,196.19
  5. Step 5: Solve for x
    x = 666,849,340,196.19/530,641.25
  6. Step 6: Final answer
    x = 1,256,685.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.