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Finding the Third Proportional to 318,426.19 and 464,514.75

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Solution

The third proportional to 318,426.19 and 464,514.75 is: 677,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,426.19 : 464,514.75 = 464,514.75 : x
  2. Step 2: Convert to fraction form
    318,426.19/464,514.75 = 464,514.75/x
  3. Step 3: Cross multiply
    318,426.19x = 464,514.75 × 464,514.75
  4. Step 4: Simplify right side
    318,426.19x = 215,773,952,967.56
  5. Step 5: Solve for x
    x = 215,773,952,967.56/318,426.19
  6. Step 6: Final answer
    x = 677,626.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.