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Finding the Third Proportional to 528,847 and 805,671

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Solution

The third proportional to 528,847 and 805,671 is: 1,227,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,847 : 805,671 = 805,671 : x
  2. Step 2: Convert to fraction form
    528,847/805,671 = 805,671/x
  3. Step 3: Cross multiply
    528,847x = 805,671 × 805,671
  4. Step 4: Simplify right side
    528,847x = 649,105,760,241
  5. Step 5: Solve for x
    x = 649,105,760,241/528,847
  6. Step 6: Final answer
    x = 1,227,398.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.