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Finding the Third Proportional to 258,048 and 551,088

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Solution

The third proportional to 258,048 and 551,088 is: 1,176,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,048 : 551,088 = 551,088 : x
  2. Step 2: Convert to fraction form
    258,048/551,088 = 551,088/x
  3. Step 3: Cross multiply
    258,048x = 551,088 × 551,088
  4. Step 4: Simplify right side
    258,048x = 303,697,983,744
  5. Step 5: Solve for x
    x = 303,697,983,744/258,048
  6. Step 6: Final answer
    x = 1,176,905.01

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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.