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Finding the Third Proportional to 535,493.25 and 1,159,155.38

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Solution

The third proportional to 535,493.25 and 1,159,155.38 is: 2,509,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,493.25 : 1,159,155.38 = 1,159,155.38 : x
  2. Step 2: Convert to fraction form
    535,493.25/1,159,155.38 = 1,159,155.38/x
  3. Step 3: Cross multiply
    535,493.25x = 1,159,155.38 × 1,159,155.38
  4. Step 4: Simplify right side
    535,493.25x = 1,343,641,183,391.39
  5. Step 5: Solve for x
    x = 1,343,641,183,391.39/535,493.25
  6. Step 6: Final answer
    x = 2,509,165.49

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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.