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Finding the Third Proportional to 277,409 and 598,187

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Solution

The third proportional to 277,409 and 598,187 is: 1,289,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,409 : 598,187 = 598,187 : x
  2. Step 2: Convert to fraction form
    277,409/598,187 = 598,187/x
  3. Step 3: Cross multiply
    277,409x = 598,187 × 598,187
  4. Step 4: Simplify right side
    277,409x = 357,827,686,969
  5. Step 5: Solve for x
    x = 357,827,686,969/277,409
  6. Step 6: Final answer
    x = 1,289,892.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.