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Finding the Third Proportional to 393,141 and 589,095

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Solution

The third proportional to 393,141 and 589,095 is: 882,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,141 : 589,095 = 589,095 : x
  2. Step 2: Convert to fraction form
    393,141/589,095 = 589,095/x
  3. Step 3: Cross multiply
    393,141x = 589,095 × 589,095
  4. Step 4: Simplify right side
    393,141x = 347,032,919,025
  5. Step 5: Solve for x
    x = 347,032,919,025/393,141
  6. Step 6: Final answer
    x = 882,718.72

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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.