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Finding the Third Proportional to 386,572.50 and 589,855.50

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Solution

The third proportional to 386,572.50 and 589,855.50 is: 900,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,572.50 : 589,855.50 = 589,855.50 : x
  2. Step 2: Convert to fraction form
    386,572.50/589,855.50 = 589,855.50/x
  3. Step 3: Cross multiply
    386,572.50x = 589,855.50 × 589,855.50
  4. Step 4: Simplify right side
    386,572.50x = 347,929,510,880.25
  5. Step 5: Solve for x
    x = 347,929,510,880.25/386,572.50
  6. Step 6: Final answer
    x = 900,036.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.