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Finding the Third Proportional to 398,810 and 612,995

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Solution

The third proportional to 398,810 and 612,995 is: 942,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,810 : 612,995 = 612,995 : x
  2. Step 2: Convert to fraction form
    398,810/612,995 = 612,995/x
  3. Step 3: Cross multiply
    398,810x = 612,995 × 612,995
  4. Step 4: Simplify right side
    398,810x = 375,762,870,025
  5. Step 5: Solve for x
    x = 375,762,870,025/398,810
  6. Step 6: Final answer
    x = 942,210.25

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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.