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Finding the Third Proportional to 393,124 and 589,070

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Solution

The third proportional to 393,124 and 589,070 is: 882,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,124 : 589,070 = 589,070 : x
  2. Step 2: Convert to fraction form
    393,124/589,070 = 589,070/x
  3. Step 3: Cross multiply
    393,124x = 589,070 × 589,070
  4. Step 4: Simplify right side
    393,124x = 347,003,464,900
  5. Step 5: Solve for x
    x = 347,003,464,900/393,124
  6. Step 6: Final answer
    x = 882,681.97

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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.