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Finding the Third Proportional to 341,823 and 745,151

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Solution

The third proportional to 341,823 and 745,151 is: 1,624,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,823 : 745,151 = 745,151 : x
  2. Step 2: Convert to fraction form
    341,823/745,151 = 745,151/x
  3. Step 3: Cross multiply
    341,823x = 745,151 × 745,151
  4. Step 4: Simplify right side
    341,823x = 555,250,012,801
  5. Step 5: Solve for x
    x = 555,250,012,801/341,823
  6. Step 6: Final answer
    x = 1,624,378.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.