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Finding the Third Proportional to 270,024 and 590,880

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Solution

The third proportional to 270,024 and 590,880 is: 1,292,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,024 : 590,880 = 590,880 : x
  2. Step 2: Convert to fraction form
    270,024/590,880 = 590,880/x
  3. Step 3: Cross multiply
    270,024x = 590,880 × 590,880
  4. Step 4: Simplify right side
    270,024x = 349,139,174,400
  5. Step 5: Solve for x
    x = 349,139,174,400/270,024
  6. Step 6: Final answer
    x = 1,292,993.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.