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Finding the Third Proportional to 362,734.45 and 778,982.06

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Solution

The third proportional to 362,734.45 and 778,982.06 is: 1,672,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,734.45 : 778,982.06 = 778,982.06 : x
  2. Step 2: Convert to fraction form
    362,734.45/778,982.06 = 778,982.06/x
  3. Step 3: Cross multiply
    362,734.45x = 778,982.06 × 778,982.06
  4. Step 4: Simplify right side
    362,734.45x = 606,813,053,696.75
  5. Step 5: Solve for x
    x = 606,813,053,696.75/362,734.45
  6. Step 6: Final answer
    x = 1,672,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.