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Finding the Third Proportional to 277,186 and 587,090

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Solution

The third proportional to 277,186 and 587,090 is: 1,243,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,186 : 587,090 = 587,090 : x
  2. Step 2: Convert to fraction form
    277,186/587,090 = 587,090/x
  3. Step 3: Cross multiply
    277,186x = 587,090 × 587,090
  4. Step 4: Simplify right side
    277,186x = 344,674,668,100
  5. Step 5: Solve for x
    x = 344,674,668,100/277,186
  6. Step 6: Final answer
    x = 1,243,477.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.