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Finding the Third Proportional to 534,805 and 802,323

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Solution

The third proportional to 534,805 and 802,323 is: 1,203,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,805 : 802,323 = 802,323 : x
  2. Step 2: Convert to fraction form
    534,805/802,323 = 802,323/x
  3. Step 3: Cross multiply
    534,805x = 802,323 × 802,323
  4. Step 4: Simplify right side
    534,805x = 643,722,196,329
  5. Step 5: Solve for x
    x = 643,722,196,329/534,805
  6. Step 6: Final answer
    x = 1,203,657.77

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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.