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Finding the Third Proportional to 262,968 and 575,964

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Solution

The third proportional to 262,968 and 575,964 is: 1,261,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,968 : 575,964 = 575,964 : x
  2. Step 2: Convert to fraction form
    262,968/575,964 = 575,964/x
  3. Step 3: Cross multiply
    262,968x = 575,964 × 575,964
  4. Step 4: Simplify right side
    262,968x = 331,734,529,296
  5. Step 5: Solve for x
    x = 331,734,529,296/262,968
  6. Step 6: Final answer
    x = 1,261,501.51

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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.