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Finding the Third Proportional to 452,803.50 and 942,810.75

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Solution

The third proportional to 452,803.50 and 942,810.75 is: 1,963,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,803.50 : 942,810.75 = 942,810.75 : x
  2. Step 2: Convert to fraction form
    452,803.50/942,810.75 = 942,810.75/x
  3. Step 3: Cross multiply
    452,803.50x = 942,810.75 × 942,810.75
  4. Step 4: Simplify right side
    452,803.50x = 888,892,110,315.56
  5. Step 5: Solve for x
    x = 888,892,110,315.56/452,803.50
  6. Step 6: Final answer
    x = 1,963,085.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.