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Finding the Third Proportional to 393,489 and 594,913.50

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Solution

The third proportional to 393,489 and 594,913.50 is: 899,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,489 : 594,913.50 = 594,913.50 : x
  2. Step 2: Convert to fraction form
    393,489/594,913.50 = 594,913.50/x
  3. Step 3: Cross multiply
    393,489x = 594,913.50 × 594,913.50
  4. Step 4: Simplify right side
    393,489x = 353,922,072,482.25
  5. Step 5: Solve for x
    x = 353,922,072,482.25/393,489
  6. Step 6: Final answer
    x = 899,445.91

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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.