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Finding the Third Proportional to 277,931 and 606,046

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Solution

The third proportional to 277,931 and 606,046 is: 1,321,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931 : 606,046 = 606,046 : x
  2. Step 2: Convert to fraction form
    277,931/606,046 = 606,046/x
  3. Step 3: Cross multiply
    277,931x = 606,046 × 606,046
  4. Step 4: Simplify right side
    277,931x = 367,291,754,116
  5. Step 5: Solve for x
    x = 367,291,754,116/277,931
  6. Step 6: Final answer
    x = 1,321,521.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.