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Finding the Third Proportional to 259,420 and 568,046

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Solution

The third proportional to 259,420 and 568,046 is: 1,243,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,420 : 568,046 = 568,046 : x
  2. Step 2: Convert to fraction form
    259,420/568,046 = 568,046/x
  3. Step 3: Cross multiply
    259,420x = 568,046 × 568,046
  4. Step 4: Simplify right side
    259,420x = 322,676,258,116
  5. Step 5: Solve for x
    x = 322,676,258,116/259,420
  6. Step 6: Final answer
    x = 1,243,837.25

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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.