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Finding the Third Proportional to 424,684 and 619,494

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Solution

The third proportional to 424,684 and 619,494 is: 903,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,684 : 619,494 = 619,494 : x
  2. Step 2: Convert to fraction form
    424,684/619,494 = 619,494/x
  3. Step 3: Cross multiply
    424,684x = 619,494 × 619,494
  4. Step 4: Simplify right side
    424,684x = 383,772,816,036
  5. Step 5: Solve for x
    x = 383,772,816,036/424,684
  6. Step 6: Final answer
    x = 903,666.76

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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.