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Finding the Third Proportional to 295,277.06 and 448,758.56

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Solution

The third proportional to 295,277.06 and 448,758.56 is: 682,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,277.06 : 448,758.56 = 448,758.56 : x
  2. Step 2: Convert to fraction form
    295,277.06/448,758.56 = 448,758.56/x
  3. Step 3: Cross multiply
    295,277.06x = 448,758.56 × 448,758.56
  4. Step 4: Simplify right side
    295,277.06x = 201,384,247,417.07
  5. Step 5: Solve for x
    x = 201,384,247,417.07/295,277.06
  6. Step 6: Final answer
    x = 682,017.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.