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Finding the Third Proportional to 605,567 and 896,623

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Solution

The third proportional to 605,567 and 896,623 is: 1,327,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,567 : 896,623 = 896,623 : x
  2. Step 2: Convert to fraction form
    605,567/896,623 = 896,623/x
  3. Step 3: Cross multiply
    605,567x = 896,623 × 896,623
  4. Step 4: Simplify right side
    605,567x = 803,932,804,129
  5. Step 5: Solve for x
    x = 803,932,804,129/605,567
  6. Step 6: Final answer
    x = 1,327,570.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.