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Finding the Third Proportional to 467,323 and 700,205

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Solution

The third proportional to 467,323 and 700,205 is: 1,049,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,323 : 700,205 = 700,205 : x
  2. Step 2: Convert to fraction form
    467,323/700,205 = 700,205/x
  3. Step 3: Cross multiply
    467,323x = 700,205 × 700,205
  4. Step 4: Simplify right side
    467,323x = 490,287,042,025
  5. Step 5: Solve for x
    x = 490,287,042,025/467,323
  6. Step 6: Final answer
    x = 1,049,139.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.