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Finding the Third Proportional to 269,058.50 and 590,597

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Solution

The third proportional to 269,058.50 and 590,597 is: 1,296,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,058.50 : 590,597 = 590,597 : x
  2. Step 2: Convert to fraction form
    269,058.50/590,597 = 590,597/x
  3. Step 3: Cross multiply
    269,058.50x = 590,597 × 590,597
  4. Step 4: Simplify right side
    269,058.50x = 348,804,816,409
  5. Step 5: Solve for x
    x = 348,804,816,409/269,058.50
  6. Step 6: Final answer
    x = 1,296,390.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.