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Finding the Third Proportional to 305,265 and 448,752

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Solution

The third proportional to 305,265 and 448,752 is: 659,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,265 : 448,752 = 448,752 : x
  2. Step 2: Convert to fraction form
    305,265/448,752 = 448,752/x
  3. Step 3: Cross multiply
    305,265x = 448,752 × 448,752
  4. Step 4: Simplify right side
    305,265x = 201,378,357,504
  5. Step 5: Solve for x
    x = 201,378,357,504/305,265
  6. Step 6: Final answer
    x = 659,683.74

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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.