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Finding the Third Proportional to 534,798.75 and 802,313.63

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Solution

The third proportional to 534,798.75 and 802,313.63 is: 1,203,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,798.75 : 802,313.63 = 802,313.63 : x
  2. Step 2: Convert to fraction form
    534,798.75/802,313.63 = 802,313.63/x
  3. Step 3: Cross multiply
    534,798.75x = 802,313.63 × 802,313.63
  4. Step 4: Simplify right side
    534,798.75x = 643,707,152,860.64
  5. Step 5: Solve for x
    x = 643,707,152,860.64/534,798.75
  6. Step 6: Final answer
    x = 1,203,643.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.