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Finding the Third Proportional to 523,641 and 805,874

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Solution

The third proportional to 523,641 and 805,874 is: 1,240,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,641 : 805,874 = 805,874 : x
  2. Step 2: Convert to fraction form
    523,641/805,874 = 805,874/x
  3. Step 3: Cross multiply
    523,641x = 805,874 × 805,874
  4. Step 4: Simplify right side
    523,641x = 649,432,903,876
  5. Step 5: Solve for x
    x = 649,432,903,876/523,641
  6. Step 6: Final answer
    x = 1,240,225.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.