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Finding the Third Proportional to 275,260 and 583,598

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Solution

The third proportional to 275,260 and 583,598 is: 1,237,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,260 : 583,598 = 583,598 : x
  2. Step 2: Convert to fraction form
    275,260/583,598 = 583,598/x
  3. Step 3: Cross multiply
    275,260x = 583,598 × 583,598
  4. Step 4: Simplify right side
    275,260x = 340,586,625,604
  5. Step 5: Solve for x
    x = 340,586,625,604/275,260
  6. Step 6: Final answer
    x = 1,237,326.98

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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.