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Finding the Third Proportional to 360,300 and 782,135.50

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Solution

The third proportional to 360,300 and 782,135.50 is: 1,697,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,300 : 782,135.50 = 782,135.50 : x
  2. Step 2: Convert to fraction form
    360,300/782,135.50 = 782,135.50/x
  3. Step 3: Cross multiply
    360,300x = 782,135.50 × 782,135.50
  4. Step 4: Simplify right side
    360,300x = 611,735,940,360.25
  5. Step 5: Solve for x
    x = 611,735,940,360.25/360,300
  6. Step 6: Final answer
    x = 1,697,851.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.