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Finding the Third Proportional to 277,509 and 601,674

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Solution

The third proportional to 277,509 and 601,674 is: 1,304,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509 : 601,674 = 601,674 : x
  2. Step 2: Convert to fraction form
    277,509/601,674 = 601,674/x
  3. Step 3: Cross multiply
    277,509x = 601,674 × 601,674
  4. Step 4: Simplify right side
    277,509x = 362,011,602,276
  5. Step 5: Solve for x
    x = 362,011,602,276/277,509
  6. Step 6: Final answer
    x = 1,304,504.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.