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Finding the Third Proportional to 275,357 and 583,798

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Solution

The third proportional to 275,357 and 583,798 is: 1,237,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,357 : 583,798 = 583,798 : x
  2. Step 2: Convert to fraction form
    275,357/583,798 = 583,798/x
  3. Step 3: Cross multiply
    275,357x = 583,798 × 583,798
  4. Step 4: Simplify right side
    275,357x = 340,820,104,804
  5. Step 5: Solve for x
    x = 340,820,104,804/275,357
  6. Step 6: Final answer
    x = 1,237,739.03

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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.