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Finding the Third Proportional to 379,426.88 and 812,647.50

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Solution

The third proportional to 379,426.88 and 812,647.50 is: 1,740,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,426.88 : 812,647.50 = 812,647.50 : x
  2. Step 2: Convert to fraction form
    379,426.88/812,647.50 = 812,647.50/x
  3. Step 3: Cross multiply
    379,426.88x = 812,647.50 × 812,647.50
  4. Step 4: Simplify right side
    379,426.88x = 660,395,959,256.25
  5. Step 5: Solve for x
    x = 660,395,959,256.25/379,426.88
  6. Step 6: Final answer
    x = 1,740,509.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.