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Finding the Third Proportional to 388,134 and 589,202

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Solution

The third proportional to 388,134 and 589,202 is: 894,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,134 : 589,202 = 589,202 : x
  2. Step 2: Convert to fraction form
    388,134/589,202 = 589,202/x
  3. Step 3: Cross multiply
    388,134x = 589,202 × 589,202
  4. Step 4: Simplify right side
    388,134x = 347,158,996,804
  5. Step 5: Solve for x
    x = 347,158,996,804/388,134
  6. Step 6: Final answer
    x = 894,430.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.