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Finding the Third Proportional to 393,799.50 and 594,306

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Solution

The third proportional to 393,799.50 and 594,306 is: 896,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,799.50 : 594,306 = 594,306 : x
  2. Step 2: Convert to fraction form
    393,799.50/594,306 = 594,306/x
  3. Step 3: Cross multiply
    393,799.50x = 594,306 × 594,306
  4. Step 4: Simplify right side
    393,799.50x = 353,199,621,636
  5. Step 5: Solve for x
    x = 353,199,621,636/393,799.50
  6. Step 6: Final answer
    x = 896,902.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.