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Finding the Third Proportional to 254,374.50 and 404,911

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Solution

The third proportional to 254,374.50 and 404,911 is: 644,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,374.50 : 404,911 = 404,911 : x
  2. Step 2: Convert to fraction form
    254,374.50/404,911 = 404,911/x
  3. Step 3: Cross multiply
    254,374.50x = 404,911 × 404,911
  4. Step 4: Simplify right side
    254,374.50x = 163,952,917,921
  5. Step 5: Solve for x
    x = 163,952,917,921/254,374.50
  6. Step 6: Final answer
    x = 644,533.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.