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Finding the Third Proportional to 523,405.50 and 830,162.25

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Solution

The third proportional to 523,405.50 and 830,162.25 is: 1,316,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,405.50 : 830,162.25 = 830,162.25 : x
  2. Step 2: Convert to fraction form
    523,405.50/830,162.25 = 830,162.25/x
  3. Step 3: Cross multiply
    523,405.50x = 830,162.25 × 830,162.25
  4. Step 4: Simplify right side
    523,405.50x = 689,169,361,325.06
  5. Step 5: Solve for x
    x = 689,169,361,325.06/523,405.50
  6. Step 6: Final answer
    x = 1,316,702.56

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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.