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Finding the Third Proportional to 277,691,008 and 578,366,304

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Solution

The third proportional to 277,691,008 and 578,366,304 is: 1,204,603,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691,008 : 578,366,304 = 578,366,304 : x
  2. Step 2: Convert to fraction form
    277,691,008/578,366,304 = 578,366,304/x
  3. Step 3: Cross multiply
    277,691,008x = 578,366,304 × 578,366,304
  4. Step 4: Simplify right side
    277,691,008x = 334,507,581,602,620,416
  5. Step 5: Solve for x
    x = 334,507,581,602,620,416/277,691,008
  6. Step 6: Final answer
    x = 1,204,603,577.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.