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Finding the Third Proportional to 227,799 and 362,043

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Solution

The third proportional to 227,799 and 362,043 is: 575,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,799 : 362,043 = 362,043 : x
  2. Step 2: Convert to fraction form
    227,799/362,043 = 362,043/x
  3. Step 3: Cross multiply
    227,799x = 362,043 × 362,043
  4. Step 4: Simplify right side
    227,799x = 131,075,133,849
  5. Step 5: Solve for x
    x = 131,075,133,849/227,799
  6. Step 6: Final answer
    x = 575,398.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.