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Finding the Third Proportional to 534,574.50 and 1,163,256.38

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Solution

The third proportional to 534,574.50 and 1,163,256.38 is: 2,531,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,574.50 : 1,163,256.38 = 1,163,256.38 : x
  2. Step 2: Convert to fraction form
    534,574.50/1,163,256.38 = 1,163,256.38/x
  3. Step 3: Cross multiply
    534,574.50x = 1,163,256.38 × 1,163,256.38
  4. Step 4: Simplify right side
    534,574.50x = 1,353,165,393,978.14
  5. Step 5: Solve for x
    x = 1,353,165,393,978.14/534,574.50
  6. Step 6: Final answer
    x = 2,531,294.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.