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Finding the Third Proportional to 655,408 and 979,008

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Solution

The third proportional to 655,408 and 979,008 is: 1,462,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,408 : 979,008 = 979,008 : x
  2. Step 2: Convert to fraction form
    655,408/979,008 = 979,008/x
  3. Step 3: Cross multiply
    655,408x = 979,008 × 979,008
  4. Step 4: Simplify right side
    655,408x = 958,456,664,064
  5. Step 5: Solve for x
    x = 958,456,664,064/655,408
  6. Step 6: Final answer
    x = 1,462,381.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.