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Finding the Third Proportional to 262,978.21 and 567,475.24

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Solution

The third proportional to 262,978.21 and 567,475.24 is: 1,224,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,978.21 : 567,475.24 = 567,475.24 : x
  2. Step 2: Convert to fraction form
    262,978.21/567,475.24 = 567,475.24/x
  3. Step 3: Cross multiply
    262,978.21x = 567,475.24 × 567,475.24
  4. Step 4: Simplify right side
    262,978.21x = 322,028,150,495.76
  5. Step 5: Solve for x
    x = 322,028,150,495.76/262,978.21
  6. Step 6: Final answer
    x = 1,224,543.11

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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.