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Finding the Third Proportional to 454,401 and 705,586.50

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Solution

The third proportional to 454,401 and 705,586.50 is: 1,095,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,401 : 705,586.50 = 705,586.50 : x
  2. Step 2: Convert to fraction form
    454,401/705,586.50 = 705,586.50/x
  3. Step 3: Cross multiply
    454,401x = 705,586.50 × 705,586.50
  4. Step 4: Simplify right side
    454,401x = 497,852,308,982.25
  5. Step 5: Solve for x
    x = 497,852,308,982.25/454,401
  6. Step 6: Final answer
    x = 1,095,623.27

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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.