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Finding the Third Proportional to 398,259 and 630,932

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Solution

The third proportional to 398,259 and 630,932 is: 999,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,259 : 630,932 = 630,932 : x
  2. Step 2: Convert to fraction form
    398,259/630,932 = 630,932/x
  3. Step 3: Cross multiply
    398,259x = 630,932 × 630,932
  4. Step 4: Simplify right side
    398,259x = 398,075,188,624
  5. Step 5: Solve for x
    x = 398,075,188,624/398,259
  6. Step 6: Final answer
    x = 999,538.46

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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.