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Finding the Third Proportional to 735,693 and 988,653

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Solution

The third proportional to 735,693 and 988,653 is: 1,328,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,693 : 988,653 = 988,653 : x
  2. Step 2: Convert to fraction form
    735,693/988,653 = 988,653/x
  3. Step 3: Cross multiply
    735,693x = 988,653 × 988,653
  4. Step 4: Simplify right side
    735,693x = 977,434,754,409
  5. Step 5: Solve for x
    x = 977,434,754,409/735,693
  6. Step 6: Final answer
    x = 1,328,590.53

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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.