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Finding the Third Proportional to 359,868 and 775,896

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Solution

The third proportional to 359,868 and 775,896 is: 1,672,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,868 : 775,896 = 775,896 : x
  2. Step 2: Convert to fraction form
    359,868/775,896 = 775,896/x
  3. Step 3: Cross multiply
    359,868x = 775,896 × 775,896
  4. Step 4: Simplify right side
    359,868x = 602,014,602,816
  5. Step 5: Solve for x
    x = 602,014,602,816/359,868
  6. Step 6: Final answer
    x = 1,672,876.17

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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.