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Finding the Third Proportional to 385,792 and 589,806

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Solution

The third proportional to 385,792 and 589,806 is: 901,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,792 : 589,806 = 589,806 : x
  2. Step 2: Convert to fraction form
    385,792/589,806 = 589,806/x
  3. Step 3: Cross multiply
    385,792x = 589,806 × 589,806
  4. Step 4: Simplify right side
    385,792x = 347,871,117,636
  5. Step 5: Solve for x
    x = 347,871,117,636/385,792
  6. Step 6: Final answer
    x = 901,706.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.