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Finding the Third Proportional to 345,881 and 745,123

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Solution

The third proportional to 345,881 and 745,123 is: 1,605,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,881 : 745,123 = 745,123 : x
  2. Step 2: Convert to fraction form
    345,881/745,123 = 745,123/x
  3. Step 3: Cross multiply
    345,881x = 745,123 × 745,123
  4. Step 4: Simplify right side
    345,881x = 555,208,285,129
  5. Step 5: Solve for x
    x = 555,208,285,129/345,881
  6. Step 6: Final answer
    x = 1,605,200.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.