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Finding the Third Proportional to 359,728 and 777,092

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Solution

The third proportional to 359,728 and 777,092 is: 1,678,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,728 : 777,092 = 777,092 : x
  2. Step 2: Convert to fraction form
    359,728/777,092 = 777,092/x
  3. Step 3: Cross multiply
    359,728x = 777,092 × 777,092
  4. Step 4: Simplify right side
    359,728x = 603,871,976,464
  5. Step 5: Solve for x
    x = 603,871,976,464/359,728
  6. Step 6: Final answer
    x = 1,678,690.50

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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.