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Finding the Third Proportional to 259,317 and 554,598

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Solution

The third proportional to 259,317 and 554,598 is: 1,186,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,317 : 554,598 = 554,598 : x
  2. Step 2: Convert to fraction form
    259,317/554,598 = 554,598/x
  3. Step 3: Cross multiply
    259,317x = 554,598 × 554,598
  4. Step 4: Simplify right side
    259,317x = 307,578,941,604
  5. Step 5: Solve for x
    x = 307,578,941,604/259,317
  6. Step 6: Final answer
    x = 1,186,111.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.