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Finding the Third Proportional to 369,218 and 806,773

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Solution

The third proportional to 369,218 and 806,773 is: 1,762,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,218 : 806,773 = 806,773 : x
  2. Step 2: Convert to fraction form
    369,218/806,773 = 806,773/x
  3. Step 3: Cross multiply
    369,218x = 806,773 × 806,773
  4. Step 4: Simplify right side
    369,218x = 650,882,673,529
  5. Step 5: Solve for x
    x = 650,882,673,529/369,218
  6. Step 6: Final answer
    x = 1,762,868.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.