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Finding the Third Proportional to 262,807 and 567,835

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Solution

The third proportional to 262,807 and 567,835 is: 1,226,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807 : 567,835 = 567,835 : x
  2. Step 2: Convert to fraction form
    262,807/567,835 = 567,835/x
  3. Step 3: Cross multiply
    262,807x = 567,835 × 567,835
  4. Step 4: Simplify right side
    262,807x = 322,436,587,225
  5. Step 5: Solve for x
    x = 322,436,587,225/262,807
  6. Step 6: Final answer
    x = 1,226,894.97

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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.