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Finding the Third Proportional to 485,024 and 734,246

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Solution

The third proportional to 485,024 and 734,246 is: 1,111,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,024 : 734,246 = 734,246 : x
  2. Step 2: Convert to fraction form
    485,024/734,246 = 734,246/x
  3. Step 3: Cross multiply
    485,024x = 734,246 × 734,246
  4. Step 4: Simplify right side
    485,024x = 539,117,188,516
  5. Step 5: Solve for x
    x = 539,117,188,516/485,024
  6. Step 6: Final answer
    x = 1,111,526.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.