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Finding the Third Proportional to 735,695 and 988,656

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Solution

The third proportional to 735,695 and 988,656 is: 1,328,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,695 : 988,656 = 988,656 : x
  2. Step 2: Convert to fraction form
    735,695/988,656 = 988,656/x
  3. Step 3: Cross multiply
    735,695x = 988,656 × 988,656
  4. Step 4: Simplify right side
    735,695x = 977,440,686,336
  5. Step 5: Solve for x
    x = 977,440,686,336/735,695
  6. Step 6: Final answer
    x = 1,328,594.98

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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.