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Finding the Third Proportional to 277,878.09 and 597,886.31

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Solution

The third proportional to 277,878.09 and 597,886.31 is: 1,286,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,878.09 : 597,886.31 = 597,886.31 : x
  2. Step 2: Convert to fraction form
    277,878.09/597,886.31 = 597,886.31/x
  3. Step 3: Cross multiply
    277,878.09x = 597,886.31 × 597,886.31
  4. Step 4: Simplify right side
    277,878.09x = 357,468,042,674.85
  5. Step 5: Solve for x
    x = 357,468,042,674.85/277,878.09
  6. Step 6: Final answer
    x = 1,286,420.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.