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Finding the Third Proportional to 506,262 and 739,404

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Solution

The third proportional to 506,262 and 739,404 is: 1,079,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,262 : 739,404 = 739,404 : x
  2. Step 2: Convert to fraction form
    506,262/739,404 = 739,404/x
  3. Step 3: Cross multiply
    506,262x = 739,404 × 739,404
  4. Step 4: Simplify right side
    506,262x = 546,718,275,216
  5. Step 5: Solve for x
    x = 546,718,275,216/506,262
  6. Step 6: Final answer
    x = 1,079,911.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.