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Finding the Third Proportional to 264,714 and 399,539.50

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Solution

The third proportional to 264,714 and 399,539.50 is: 603,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,714 : 399,539.50 = 399,539.50 : x
  2. Step 2: Convert to fraction form
    264,714/399,539.50 = 399,539.50/x
  3. Step 3: Cross multiply
    264,714x = 399,539.50 × 399,539.50
  4. Step 4: Simplify right side
    264,714x = 159,631,812,060.25
  5. Step 5: Solve for x
    x = 159,631,812,060.25/264,714
  6. Step 6: Final answer
    x = 603,035.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.