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Finding the Third Proportional to 262,575 and 534,789

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Solution

The third proportional to 262,575 and 534,789 is: 1,089,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,575 : 534,789 = 534,789 : x
  2. Step 2: Convert to fraction form
    262,575/534,789 = 534,789/x
  3. Step 3: Cross multiply
    262,575x = 534,789 × 534,789
  4. Step 4: Simplify right side
    262,575x = 285,999,274,521
  5. Step 5: Solve for x
    x = 285,999,274,521/262,575
  6. Step 6: Final answer
    x = 1,089,209.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.