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Finding the Third Proportional to 305,273 and 448,764

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Solution

The third proportional to 305,273 and 448,764 is: 659,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,273 : 448,764 = 448,764 : x
  2. Step 2: Convert to fraction form
    305,273/448,764 = 448,764/x
  3. Step 3: Cross multiply
    305,273x = 448,764 × 448,764
  4. Step 4: Simplify right side
    305,273x = 201,389,127,696
  5. Step 5: Solve for x
    x = 201,389,127,696/305,273
  6. Step 6: Final answer
    x = 659,701.73

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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.