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Finding the Third Proportional to 241,570 and 328,047

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Solution

The third proportional to 241,570 and 328,047 is: 445,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,570 : 328,047 = 328,047 : x
  2. Step 2: Convert to fraction form
    241,570/328,047 = 328,047/x
  3. Step 3: Cross multiply
    241,570x = 328,047 × 328,047
  4. Step 4: Simplify right side
    241,570x = 107,614,834,209
  5. Step 5: Solve for x
    x = 107,614,834,209/241,570
  6. Step 6: Final answer
    x = 445,480.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.