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Finding the Third Proportional to 305,261.81 and 448,746.38

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Solution

The third proportional to 305,261.81 and 448,746.38 is: 659,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,261.81 : 448,746.38 = 448,746.38 : x
  2. Step 2: Convert to fraction form
    305,261.81/448,746.38 = 448,746.38/x
  3. Step 3: Cross multiply
    305,261.81x = 448,746.38 × 448,746.38
  4. Step 4: Simplify right side
    305,261.81x = 201,373,309,075.64
  5. Step 5: Solve for x
    x = 201,373,309,075.64/305,261.81
  6. Step 6: Final answer
    x = 659,674.09

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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.