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Finding the Third Proportional to 359,563 and 798,938

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Solution

The third proportional to 359,563 and 798,938 is: 1,775,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,563 : 798,938 = 798,938 : x
  2. Step 2: Convert to fraction form
    359,563/798,938 = 798,938/x
  3. Step 3: Cross multiply
    359,563x = 798,938 × 798,938
  4. Step 4: Simplify right side
    359,563x = 638,301,927,844
  5. Step 5: Solve for x
    x = 638,301,927,844/359,563
  6. Step 6: Final answer
    x = 1,775,215.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.