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Finding the Third Proportional to 262,922 and 575,598

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Solution

The third proportional to 262,922 and 575,598 is: 1,260,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,922 : 575,598 = 575,598 : x
  2. Step 2: Convert to fraction form
    262,922/575,598 = 575,598/x
  3. Step 3: Cross multiply
    262,922x = 575,598 × 575,598
  4. Step 4: Simplify right side
    262,922x = 331,313,057,604
  5. Step 5: Solve for x
    x = 331,313,057,604/262,922
  6. Step 6: Final answer
    x = 1,260,119.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.