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Finding the Third Proportional to 393,106.50 and 589,045.50

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Solution

The third proportional to 393,106.50 and 589,045.50 is: 882,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,106.50 : 589,045.50 = 589,045.50 : x
  2. Step 2: Convert to fraction form
    393,106.50/589,045.50 = 589,045.50/x
  3. Step 3: Cross multiply
    393,106.50x = 589,045.50 × 589,045.50
  4. Step 4: Simplify right side
    393,106.50x = 346,974,601,070.25
  5. Step 5: Solve for x
    x = 346,974,601,070.25/393,106.50
  6. Step 6: Final answer
    x = 882,647.83

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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.