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Finding the Third Proportional to 262,944 and 575,644

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Solution

The third proportional to 262,944 and 575,644 is: 1,260,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,944 : 575,644 = 575,644 : x
  2. Step 2: Convert to fraction form
    262,944/575,644 = 575,644/x
  3. Step 3: Cross multiply
    262,944x = 575,644 × 575,644
  4. Step 4: Simplify right side
    262,944x = 331,366,014,736
  5. Step 5: Solve for x
    x = 331,366,014,736/262,944
  6. Step 6: Final answer
    x = 1,260,215.16

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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.