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Finding the Third Proportional to 735,672 and 988,620

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Solution

The third proportional to 735,672 and 988,620 is: 1,328,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,672 : 988,620 = 988,620 : x
  2. Step 2: Convert to fraction form
    735,672/988,620 = 988,620/x
  3. Step 3: Cross multiply
    735,672x = 988,620 × 988,620
  4. Step 4: Simplify right side
    735,672x = 977,369,504,400
  5. Step 5: Solve for x
    x = 977,369,504,400/735,672
  6. Step 6: Final answer
    x = 1,328,539.76

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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.