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Finding the Third Proportional to 537,191 and 805,786.50

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Solution

The third proportional to 537,191 and 805,786.50 is: 1,208,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,191 : 805,786.50 = 805,786.50 : x
  2. Step 2: Convert to fraction form
    537,191/805,786.50 = 805,786.50/x
  3. Step 3: Cross multiply
    537,191x = 805,786.50 × 805,786.50
  4. Step 4: Simplify right side
    537,191x = 649,291,883,582.25
  5. Step 5: Solve for x
    x = 649,291,883,582.25/537,191
  6. Step 6: Final answer
    x = 1,208,679.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.