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Finding the Third Proportional to 277,008 and 433,928

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Solution

The third proportional to 277,008 and 433,928 is: 679,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,008 : 433,928 = 433,928 : x
  2. Step 2: Convert to fraction form
    277,008/433,928 = 433,928/x
  3. Step 3: Cross multiply
    277,008x = 433,928 × 433,928
  4. Step 4: Simplify right side
    277,008x = 188,293,509,184
  5. Step 5: Solve for x
    x = 188,293,509,184/277,008
  6. Step 6: Final answer
    x = 679,740.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.