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Finding the Third Proportional to 305,278.88 and 448,776.70

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Solution

The third proportional to 305,278.88 and 448,776.70 is: 659,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,278.88 : 448,776.70 = 448,776.70 : x
  2. Step 2: Convert to fraction form
    305,278.88/448,776.70 = 448,776.70/x
  3. Step 3: Cross multiply
    305,278.88x = 448,776.70 × 448,776.70
  4. Step 4: Simplify right side
    305,278.88x = 201,400,529,267.74
  5. Step 5: Solve for x
    x = 201,400,529,267.74/305,278.88
  6. Step 6: Final answer
    x = 659,726.39

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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.