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Finding the Third Proportional to 348,792 and 745,164

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Solution

The third proportional to 348,792 and 745,164 is: 1,591,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,792 : 745,164 = 745,164 : x
  2. Step 2: Convert to fraction form
    348,792/745,164 = 745,164/x
  3. Step 3: Cross multiply
    348,792x = 745,164 × 745,164
  4. Step 4: Simplify right side
    348,792x = 555,269,386,896
  5. Step 5: Solve for x
    x = 555,269,386,896/348,792
  6. Step 6: Final answer
    x = 1,591,978.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.