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Finding the Third Proportional to 305,548.88 and 657,905.63

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Solution

The third proportional to 305,548.88 and 657,905.63 is: 1,416,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,548.88 : 657,905.63 = 657,905.63 : x
  2. Step 2: Convert to fraction form
    305,548.88/657,905.63 = 657,905.63/x
  3. Step 3: Cross multiply
    305,548.88x = 657,905.63 × 657,905.63
  4. Step 4: Simplify right side
    305,548.88x = 432,839,811,406.64
  5. Step 5: Solve for x
    x = 432,839,811,406.64/305,548.88
  6. Step 6: Final answer
    x = 1,416,597.63

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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.