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Finding the Third Proportional to 231,036 and 507,432

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Solution

The third proportional to 231,036 and 507,432 is: 1,114,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,036 : 507,432 = 507,432 : x
  2. Step 2: Convert to fraction form
    231,036/507,432 = 507,432/x
  3. Step 3: Cross multiply
    231,036x = 507,432 × 507,432
  4. Step 4: Simplify right side
    231,036x = 257,487,234,624
  5. Step 5: Solve for x
    x = 257,487,234,624/231,036
  6. Step 6: Final answer
    x = 1,114,489.67

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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.