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Finding the Third Proportional to 454,275 and 705,401

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Solution

The third proportional to 454,275 and 705,401 is: 1,095,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,275 : 705,401 = 705,401 : x
  2. Step 2: Convert to fraction form
    454,275/705,401 = 705,401/x
  3. Step 3: Cross multiply
    454,275x = 705,401 × 705,401
  4. Step 4: Simplify right side
    454,275x = 497,590,570,801
  5. Step 5: Solve for x
    x = 497,590,570,801/454,275
  6. Step 6: Final answer
    x = 1,095,350.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.