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Finding the Third Proportional to 245,772 and 370,912

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Solution

The third proportional to 245,772 and 370,912 is: 559,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,772 : 370,912 = 370,912 : x
  2. Step 2: Convert to fraction form
    245,772/370,912 = 370,912/x
  3. Step 3: Cross multiply
    245,772x = 370,912 × 370,912
  4. Step 4: Simplify right side
    245,772x = 137,575,711,744
  5. Step 5: Solve for x
    x = 137,575,711,744/245,772
  6. Step 6: Final answer
    x = 559,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.