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Finding the Third Proportional to 376,461 and 810,594

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Solution

The third proportional to 376,461 and 810,594 is: 1,745,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,461 : 810,594 = 810,594 : x
  2. Step 2: Convert to fraction form
    376,461/810,594 = 810,594/x
  3. Step 3: Cross multiply
    376,461x = 810,594 × 810,594
  4. Step 4: Simplify right side
    376,461x = 657,062,632,836
  5. Step 5: Solve for x
    x = 657,062,632,836/376,461
  6. Step 6: Final answer
    x = 1,745,367.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.