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Finding the Third Proportional to 270,023 and 590,878

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Solution

The third proportional to 270,023 and 590,878 is: 1,292,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,023 : 590,878 = 590,878 : x
  2. Step 2: Convert to fraction form
    270,023/590,878 = 590,878/x
  3. Step 3: Cross multiply
    270,023x = 590,878 × 590,878
  4. Step 4: Simplify right side
    270,023x = 349,136,810,884
  5. Step 5: Solve for x
    x = 349,136,810,884/270,023
  6. Step 6: Final answer
    x = 1,292,989.16

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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.