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Finding the Third Proportional to 405,748.30 and 630,771.52

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Solution

The third proportional to 405,748.30 and 630,771.52 is: 980,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,748.30 : 630,771.52 = 630,771.52 : x
  2. Step 2: Convert to fraction form
    405,748.30/630,771.52 = 630,771.52/x
  3. Step 3: Cross multiply
    405,748.30x = 630,771.52 × 630,771.52
  4. Step 4: Simplify right side
    405,748.30x = 397,872,712,315.72
  5. Step 5: Solve for x
    x = 397,872,712,315.72/405,748.30
  6. Step 6: Final answer
    x = 980,589.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.