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Finding the Third Proportional to 537,194 and 805,791

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Solution

The third proportional to 537,194 and 805,791 is: 1,208,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,194 : 805,791 = 805,791 : x
  2. Step 2: Convert to fraction form
    537,194/805,791 = 805,791/x
  3. Step 3: Cross multiply
    537,194x = 805,791 × 805,791
  4. Step 4: Simplify right side
    537,194x = 649,299,135,681
  5. Step 5: Solve for x
    x = 649,299,135,681/537,194
  6. Step 6: Final answer
    x = 1,208,686.50

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Why These Related Problems?

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