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Finding the Third Proportional to 398,258 and 630,930

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Solution

The third proportional to 398,258 and 630,930 is: 999,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,258 : 630,930 = 630,930 : x
  2. Step 2: Convert to fraction form
    398,258/630,930 = 630,930/x
  3. Step 3: Cross multiply
    398,258x = 630,930 × 630,930
  4. Step 4: Simplify right side
    398,258x = 398,072,664,900
  5. Step 5: Solve for x
    x = 398,072,664,900/398,258
  6. Step 6: Final answer
    x = 999,534.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.