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Finding the Third Proportional to 398,790 and 612,970.88

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Solution

The third proportional to 398,790 and 612,970.88 is: 942,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,790 : 612,970.88 = 612,970.88 : x
  2. Step 2: Convert to fraction form
    398,790/612,970.88 = 612,970.88/x
  3. Step 3: Cross multiply
    398,790x = 612,970.88 × 612,970.88
  4. Step 4: Simplify right side
    398,790x = 375,733,293,598.27
  5. Step 5: Solve for x
    x = 375,733,293,598.27/398,790
  6. Step 6: Final answer
    x = 942,183.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.