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Finding the Third Proportional to 275,436 and 583,944

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Solution

The third proportional to 275,436 and 583,944 is: 1,238,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,436 : 583,944 = 583,944 : x
  2. Step 2: Convert to fraction form
    275,436/583,944 = 583,944/x
  3. Step 3: Cross multiply
    275,436x = 583,944 × 583,944
  4. Step 4: Simplify right side
    275,436x = 340,990,595,136
  5. Step 5: Solve for x
    x = 340,990,595,136/275,436
  6. Step 6: Final answer
    x = 1,238,003.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.