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Finding the Third Proportional to 377,095 and 813,225

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Solution

The third proportional to 377,095 and 813,225 is: 1,753,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,095 : 813,225 = 813,225 : x
  2. Step 2: Convert to fraction form
    377,095/813,225 = 813,225/x
  3. Step 3: Cross multiply
    377,095x = 813,225 × 813,225
  4. Step 4: Simplify right side
    377,095x = 661,334,900,625
  5. Step 5: Solve for x
    x = 661,334,900,625/377,095
  6. Step 6: Final answer
    x = 1,753,762.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.