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Finding the Third Proportional to 365,280 and 548,784

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Solution

The third proportional to 365,280 and 548,784 is: 824,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,280 : 548,784 = 548,784 : x
  2. Step 2: Convert to fraction form
    365,280/548,784 = 548,784/x
  3. Step 3: Cross multiply
    365,280x = 548,784 × 548,784
  4. Step 4: Simplify right side
    365,280x = 301,163,878,656
  5. Step 5: Solve for x
    x = 301,163,878,656/365,280
  6. Step 6: Final answer
    x = 824,474.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.