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Finding the Third Proportional to 287,808 and 587,032

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Solution

The third proportional to 287,808 and 587,032 is: 1,197,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,808 : 587,032 = 587,032 : x
  2. Step 2: Convert to fraction form
    287,808/587,032 = 587,032/x
  3. Step 3: Cross multiply
    287,808x = 587,032 × 587,032
  4. Step 4: Simplify right side
    287,808x = 344,606,569,024
  5. Step 5: Solve for x
    x = 344,606,569,024/287,808
  6. Step 6: Final answer
    x = 1,197,348.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.