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Finding the Third Proportional to 402,813 and 886,612.50

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Solution

The third proportional to 402,813 and 886,612.50 is: 1,951,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,813 : 886,612.50 = 886,612.50 : x
  2. Step 2: Convert to fraction form
    402,813/886,612.50 = 886,612.50/x
  3. Step 3: Cross multiply
    402,813x = 886,612.50 × 886,612.50
  4. Step 4: Simplify right side
    402,813x = 786,081,725,156.25
  5. Step 5: Solve for x
    x = 786,081,725,156.25/402,813
  6. Step 6: Final answer
    x = 1,951,480.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.