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Finding the Third Proportional to 522,072 and 830,725.88

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Solution

The third proportional to 522,072 and 830,725.88 is: 1,321,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,072 : 830,725.88 = 830,725.88 : x
  2. Step 2: Convert to fraction form
    522,072/830,725.88 = 830,725.88/x
  3. Step 3: Cross multiply
    522,072x = 830,725.88 × 830,725.88
  4. Step 4: Simplify right side
    522,072x = 690,105,479,394.52
  5. Step 5: Solve for x
    x = 690,105,479,394.52/522,072
  6. Step 6: Final answer
    x = 1,321,858.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.