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Finding the Third Proportional to 735,615 and 988,551

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Solution

The third proportional to 735,615 and 988,551 is: 1,328,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,615 : 988,551 = 988,551 : x
  2. Step 2: Convert to fraction form
    735,615/988,551 = 988,551/x
  3. Step 3: Cross multiply
    735,615x = 988,551 × 988,551
  4. Step 4: Simplify right side
    735,615x = 977,233,079,601
  5. Step 5: Solve for x
    x = 977,233,079,601/735,615
  6. Step 6: Final answer
    x = 1,328,457.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.