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Finding the Third Proportional to 393,786 and 594,283.50

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Solution

The third proportional to 393,786 and 594,283.50 is: 896,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,786 : 594,283.50 = 594,283.50 : x
  2. Step 2: Convert to fraction form
    393,786/594,283.50 = 594,283.50/x
  3. Step 3: Cross multiply
    393,786x = 594,283.50 × 594,283.50
  4. Step 4: Simplify right side
    393,786x = 353,172,878,372.25
  5. Step 5: Solve for x
    x = 353,172,878,372.25/393,786
  6. Step 6: Final answer
    x = 896,864.99

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