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Finding the Third Proportional to 279,259 and 602,797

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Solution

The third proportional to 279,259 and 602,797 is: 1,301,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,259 : 602,797 = 602,797 : x
  2. Step 2: Convert to fraction form
    279,259/602,797 = 602,797/x
  3. Step 3: Cross multiply
    279,259x = 602,797 × 602,797
  4. Step 4: Simplify right side
    279,259x = 363,364,223,209
  5. Step 5: Solve for x
    x = 363,364,223,209/279,259
  6. Step 6: Final answer
    x = 1,301,172.83

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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.