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Finding the Third Proportional to 287,969 and 619,405

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Solution

The third proportional to 287,969 and 619,405 is: 1,332,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,969 : 619,405 = 619,405 : x
  2. Step 2: Convert to fraction form
    287,969/619,405 = 619,405/x
  3. Step 3: Cross multiply
    287,969x = 619,405 × 619,405
  4. Step 4: Simplify right side
    287,969x = 383,662,554,025
  5. Step 5: Solve for x
    x = 383,662,554,025/287,969
  6. Step 6: Final answer
    x = 1,332,305.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.