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Finding the Third Proportional to 393,130 and 589,077

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Solution

The third proportional to 393,130 and 589,077 is: 882,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,130 : 589,077 = 589,077 : x
  2. Step 2: Convert to fraction form
    393,130/589,077 = 589,077/x
  3. Step 3: Cross multiply
    393,130x = 589,077 × 589,077
  4. Step 4: Simplify right side
    393,130x = 347,011,711,929
  5. Step 5: Solve for x
    x = 347,011,711,929/393,130
  6. Step 6: Final answer
    x = 882,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.