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Finding the Third Proportional to 277,809.75 and 414,886

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Solution

The third proportional to 277,809.75 and 414,886 is: 619,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809.75 : 414,886 = 414,886 : x
  2. Step 2: Convert to fraction form
    277,809.75/414,886 = 414,886/x
  3. Step 3: Cross multiply
    277,809.75x = 414,886 × 414,886
  4. Step 4: Simplify right side
    277,809.75x = 172,130,392,996
  5. Step 5: Solve for x
    x = 172,130,392,996/277,809.75
  6. Step 6: Final answer
    x = 619,598.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.