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Finding the Third Proportional to 552,047.06 and 830,833.88

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Solution

The third proportional to 552,047.06 and 830,833.88 is: 1,250,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,047.06 : 830,833.88 = 830,833.88 : x
  2. Step 2: Convert to fraction form
    552,047.06/830,833.88 = 830,833.88/x
  3. Step 3: Cross multiply
    552,047.06x = 830,833.88 × 830,833.88
  4. Step 4: Simplify right side
    552,047.06x = 690,284,927,847.52
  5. Step 5: Solve for x
    x = 690,284,927,847.52/552,047.06
  6. Step 6: Final answer
    x = 1,250,409.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.