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Finding the Third Proportional to 241,428 and 354,738

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Solution

The third proportional to 241,428 and 354,738 is: 521,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,428 : 354,738 = 354,738 : x
  2. Step 2: Convert to fraction form
    241,428/354,738 = 354,738/x
  3. Step 3: Cross multiply
    241,428x = 354,738 × 354,738
  4. Step 4: Simplify right side
    241,428x = 125,839,048,644
  5. Step 5: Solve for x
    x = 125,839,048,644/241,428
  6. Step 6: Final answer
    x = 521,228.06

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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.