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Finding the Third Proportional to 246,510 and 368,784.50

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Solution

The third proportional to 246,510 and 368,784.50 is: 551,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,510 : 368,784.50 = 368,784.50 : x
  2. Step 2: Convert to fraction form
    246,510/368,784.50 = 368,784.50/x
  3. Step 3: Cross multiply
    246,510x = 368,784.50 × 368,784.50
  4. Step 4: Simplify right side
    246,510x = 136,002,007,440.25
  5. Step 5: Solve for x
    x = 136,002,007,440.25/246,510
  6. Step 6: Final answer
    x = 551,709.90

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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.