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Finding the Third Proportional to 355,241.32 and 778,596.05

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Solution

The third proportional to 355,241.32 and 778,596.05 is: 1,706,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,241.32 : 778,596.05 = 778,596.05 : x
  2. Step 2: Convert to fraction form
    355,241.32/778,596.05 = 778,596.05/x
  3. Step 3: Cross multiply
    355,241.32x = 778,596.05 × 778,596.05
  4. Step 4: Simplify right side
    355,241.32x = 606,211,804,209.38
  5. Step 5: Solve for x
    x = 606,211,804,209.38/355,241.32
  6. Step 6: Final answer
    x = 1,706,478.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.