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Finding the Third Proportional to 655,274 and 988,923

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Solution

The third proportional to 655,274 and 988,923 is: 1,492,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,274 : 988,923 = 988,923 : x
  2. Step 2: Convert to fraction form
    655,274/988,923 = 988,923/x
  3. Step 3: Cross multiply
    655,274x = 988,923 × 988,923
  4. Step 4: Simplify right side
    655,274x = 977,968,699,929
  5. Step 5: Solve for x
    x = 977,968,699,929/655,274
  6. Step 6: Final answer
    x = 1,492,457.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.