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Finding the Third Proportional to 243,406.50 and 524,262

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Solution

The third proportional to 243,406.50 and 524,262 is: 1,129,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,406.50 : 524,262 = 524,262 : x
  2. Step 2: Convert to fraction form
    243,406.50/524,262 = 524,262/x
  3. Step 3: Cross multiply
    243,406.50x = 524,262 × 524,262
  4. Step 4: Simplify right side
    243,406.50x = 274,850,644,644
  5. Step 5: Solve for x
    x = 274,850,644,644/243,406.50
  6. Step 6: Final answer
    x = 1,129,183.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.