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Finding the Third Proportional to 262,964 and 578,632

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Solution

The third proportional to 262,964 and 578,632 is: 1,273,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,964 : 578,632 = 578,632 : x
  2. Step 2: Convert to fraction form
    262,964/578,632 = 578,632/x
  3. Step 3: Cross multiply
    262,964x = 578,632 × 578,632
  4. Step 4: Simplify right side
    262,964x = 334,814,991,424
  5. Step 5: Solve for x
    x = 334,814,991,424/262,964
  6. Step 6: Final answer
    x = 1,273,235.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.