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Finding the Third Proportional to 534,233 and 763,900.50

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Solution

The third proportional to 534,233 and 763,900.50 is: 1,092,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,233 : 763,900.50 = 763,900.50 : x
  2. Step 2: Convert to fraction form
    534,233/763,900.50 = 763,900.50/x
  3. Step 3: Cross multiply
    534,233x = 763,900.50 × 763,900.50
  4. Step 4: Simplify right side
    534,233x = 583,543,973,900.25
  5. Step 5: Solve for x
    x = 583,543,973,900.25/534,233
  6. Step 6: Final answer
    x = 1,092,302.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.