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Finding the Third Proportional to 279,299 and 602,878

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Solution

The third proportional to 279,299 and 602,878 is: 1,301,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,299 : 602,878 = 602,878 : x
  2. Step 2: Convert to fraction form
    279,299/602,878 = 602,878/x
  3. Step 3: Cross multiply
    279,299x = 602,878 × 602,878
  4. Step 4: Simplify right side
    279,299x = 363,461,882,884
  5. Step 5: Solve for x
    x = 363,461,882,884/279,299
  6. Step 6: Final answer
    x = 1,301,336.14

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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.