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Finding the Third Proportional to 279,282 and 602,844

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Solution

The third proportional to 279,282 and 602,844 is: 1,301,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,282 : 602,844 = 602,844 : x
  2. Step 2: Convert to fraction form
    279,282/602,844 = 602,844/x
  3. Step 3: Cross multiply
    279,282x = 602,844 × 602,844
  4. Step 4: Simplify right side
    279,282x = 363,420,888,336
  5. Step 5: Solve for x
    x = 363,420,888,336/279,282
  6. Step 6: Final answer
    x = 1,301,268.57

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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.