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Finding the Third Proportional to 305,271 and 448,759.88

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Solution

The third proportional to 305,271 and 448,759.88 is: 659,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,271 : 448,759.88 = 448,759.88 : x
  2. Step 2: Convert to fraction form
    305,271/448,759.88 = 448,759.88/x
  3. Step 3: Cross multiply
    305,271x = 448,759.88 × 448,759.88
  4. Step 4: Simplify right side
    305,271x = 201,385,425,410.02
  5. Step 5: Solve for x
    x = 201,385,425,410.02/305,271
  6. Step 6: Final answer
    x = 659,693.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.