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Finding the Third Proportional to 318,030 and 431,861

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Solution

The third proportional to 318,030 and 431,861 is: 586,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,030 : 431,861 = 431,861 : x
  2. Step 2: Convert to fraction form
    318,030/431,861 = 431,861/x
  3. Step 3: Cross multiply
    318,030x = 431,861 × 431,861
  4. Step 4: Simplify right side
    318,030x = 186,503,923,321
  5. Step 5: Solve for x
    x = 186,503,923,321/318,030
  6. Step 6: Final answer
    x = 586,435.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.