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Finding the Third Proportional to 285,731.50 and 610,829

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Solution

The third proportional to 285,731.50 and 610,829 is: 1,305,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,731.50 : 610,829 = 610,829 : x
  2. Step 2: Convert to fraction form
    285,731.50/610,829 = 610,829/x
  3. Step 3: Cross multiply
    285,731.50x = 610,829 × 610,829
  4. Step 4: Simplify right side
    285,731.50x = 373,112,067,241
  5. Step 5: Solve for x
    x = 373,112,067,241/285,731.50
  6. Step 6: Final answer
    x = 1,305,813.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.