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Finding the Third Proportional to 279,082 and 602,804

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Solution

The third proportional to 279,082 and 602,804 is: 1,302,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,082 : 602,804 = 602,804 : x
  2. Step 2: Convert to fraction form
    279,082/602,804 = 602,804/x
  3. Step 3: Cross multiply
    279,082x = 602,804 × 602,804
  4. Step 4: Simplify right side
    279,082x = 363,372,662,416
  5. Step 5: Solve for x
    x = 363,372,662,416/279,082
  6. Step 6: Final answer
    x = 1,302,028.30

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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.