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Finding the Third Proportional to 469,426 and 706,380

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Solution

The third proportional to 469,426 and 706,380 is: 1,062,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,426 : 706,380 = 706,380 : x
  2. Step 2: Convert to fraction form
    469,426/706,380 = 706,380/x
  3. Step 3: Cross multiply
    469,426x = 706,380 × 706,380
  4. Step 4: Simplify right side
    469,426x = 498,972,704,400
  5. Step 5: Solve for x
    x = 498,972,704,400/469,426
  6. Step 6: Final answer
    x = 1,062,942.20

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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.