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Finding the Third Proportional to 534,803 and 802,320

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Solution

The third proportional to 534,803 and 802,320 is: 1,203,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,803 : 802,320 = 802,320 : x
  2. Step 2: Convert to fraction form
    534,803/802,320 = 802,320/x
  3. Step 3: Cross multiply
    534,803x = 802,320 × 802,320
  4. Step 4: Simplify right side
    534,803x = 643,717,382,400
  5. Step 5: Solve for x
    x = 643,717,382,400/534,803
  6. Step 6: Final answer
    x = 1,203,653.27

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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.