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Finding the Third Proportional to 364,467 and 539,526

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Solution

The third proportional to 364,467 and 539,526 is: 798,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,467 : 539,526 = 539,526 : x
  2. Step 2: Convert to fraction form
    364,467/539,526 = 539,526/x
  3. Step 3: Cross multiply
    364,467x = 539,526 × 539,526
  4. Step 4: Simplify right side
    364,467x = 291,088,304,676
  5. Step 5: Solve for x
    x = 291,088,304,676/364,467
  6. Step 6: Final answer
    x = 798,668.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.