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Finding the Third Proportional to 359,566 and 798,941

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Solution

The third proportional to 359,566 and 798,941 is: 1,775,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,566 : 798,941 = 798,941 : x
  2. Step 2: Convert to fraction form
    359,566/798,941 = 798,941/x
  3. Step 3: Cross multiply
    359,566x = 798,941 × 798,941
  4. Step 4: Simplify right side
    359,566x = 638,306,721,481
  5. Step 5: Solve for x
    x = 638,306,721,481/359,566
  6. Step 6: Final answer
    x = 1,775,214.35

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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.