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Finding the Third Proportional to 361,386.75 and 777,273.75

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Solution

The third proportional to 361,386.75 and 777,273.75 is: 1,671,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,386.75 : 777,273.75 = 777,273.75 : x
  2. Step 2: Convert to fraction form
    361,386.75/777,273.75 = 777,273.75/x
  3. Step 3: Cross multiply
    361,386.75x = 777,273.75 × 777,273.75
  4. Step 4: Simplify right side
    361,386.75x = 604,154,482,439.06
  5. Step 5: Solve for x
    x = 604,154,482,439.06/361,386.75
  6. Step 6: Final answer
    x = 1,671,767.11

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