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Finding the Third Proportional to 469,408 and 706,360

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Solution

The third proportional to 469,408 and 706,360 is: 1,062,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,408 : 706,360 = 706,360 : x
  2. Step 2: Convert to fraction form
    469,408/706,360 = 706,360/x
  3. Step 3: Cross multiply
    469,408x = 706,360 × 706,360
  4. Step 4: Simplify right side
    469,408x = 498,944,449,600
  5. Step 5: Solve for x
    x = 498,944,449,600/469,408
  6. Step 6: Final answer
    x = 1,062,922.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.