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Finding the Third Proportional to 359,736 and 777,102

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Solution

The third proportional to 359,736 and 777,102 is: 1,678,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,736 : 777,102 = 777,102 : x
  2. Step 2: Convert to fraction form
    359,736/777,102 = 777,102/x
  3. Step 3: Cross multiply
    359,736x = 777,102 × 777,102
  4. Step 4: Simplify right side
    359,736x = 603,887,518,404
  5. Step 5: Solve for x
    x = 603,887,518,404/359,736
  6. Step 6: Final answer
    x = 1,678,696.37

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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.