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Finding the Third Proportional to 277,690,804 and 578,365,914

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Solution

The third proportional to 277,690,804 and 578,365,914 is: 1,204,602,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690,804 : 578,365,914 = 578,365,914 : x
  2. Step 2: Convert to fraction form
    277,690,804/578,365,914 = 578,365,914/x
  3. Step 3: Cross multiply
    277,690,804x = 578,365,914 × 578,365,914
  4. Step 4: Simplify right side
    277,690,804x = 334,507,130,477,055,424
  5. Step 5: Solve for x
    x = 334,507,130,477,055,424/277,690,804
  6. Step 6: Final answer
    x = 1,204,602,837.61

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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.