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Finding the Third Proportional to 287,566 and 624,811

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Solution

The third proportional to 287,566 and 624,811 is: 1,357,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,566 : 624,811 = 624,811 : x
  2. Step 2: Convert to fraction form
    287,566/624,811 = 624,811/x
  3. Step 3: Cross multiply
    287,566x = 624,811 × 624,811
  4. Step 4: Simplify right side
    287,566x = 390,388,785,721
  5. Step 5: Solve for x
    x = 390,388,785,721/287,566
  6. Step 6: Final answer
    x = 1,357,562.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.