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Finding the Third Proportional to 398,261 and 630,935

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Solution

The third proportional to 398,261 and 630,935 is: 999,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,261 : 630,935 = 630,935 : x
  2. Step 2: Convert to fraction form
    398,261/630,935 = 630,935/x
  3. Step 3: Cross multiply
    398,261x = 630,935 × 630,935
  4. Step 4: Simplify right side
    398,261x = 398,078,974,225
  5. Step 5: Solve for x
    x = 398,078,974,225/398,261
  6. Step 6: Final answer
    x = 999,542.95

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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.