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Finding the Third Proportional to 305,348 and 448,896

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Solution

The third proportional to 305,348 and 448,896 is: 659,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,348 : 448,896 = 448,896 : x
  2. Step 2: Convert to fraction form
    305,348/448,896 = 448,896/x
  3. Step 3: Cross multiply
    305,348x = 448,896 × 448,896
  4. Step 4: Simplify right side
    305,348x = 201,507,618,816
  5. Step 5: Solve for x
    x = 201,507,618,816/305,348
  6. Step 6: Final answer
    x = 659,927.75

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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.