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Finding the Third Proportional to 534,480 and 859,644

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Solution

The third proportional to 534,480 and 859,644 is: 1,382,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,480 : 859,644 = 859,644 : x
  2. Step 2: Convert to fraction form
    534,480/859,644 = 859,644/x
  3. Step 3: Cross multiply
    534,480x = 859,644 × 859,644
  4. Step 4: Simplify right side
    534,480x = 738,987,806,736
  5. Step 5: Solve for x
    x = 738,987,806,736/534,480
  6. Step 6: Final answer
    x = 1,382,629.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.