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Finding the Third Proportional to 316,305 and 682,432.50

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Solution

The third proportional to 316,305 and 682,432.50 is: 1,472,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,305 : 682,432.50 = 682,432.50 : x
  2. Step 2: Convert to fraction form
    316,305/682,432.50 = 682,432.50/x
  3. Step 3: Cross multiply
    316,305x = 682,432.50 × 682,432.50
  4. Step 4: Simplify right side
    316,305x = 465,714,117,056.25
  5. Step 5: Solve for x
    x = 465,714,117,056.25/316,305
  6. Step 6: Final answer
    x = 1,472,357.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.