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Finding the Third Proportional to 591,727.50 and 837,288

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Solution

The third proportional to 591,727.50 and 837,288 is: 1,184,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,727.50 : 837,288 = 837,288 : x
  2. Step 2: Convert to fraction form
    591,727.50/837,288 = 837,288/x
  3. Step 3: Cross multiply
    591,727.50x = 837,288 × 837,288
  4. Step 4: Simplify right side
    591,727.50x = 701,051,194,944
  5. Step 5: Solve for x
    x = 701,051,194,944/591,727.50
  6. Step 6: Final answer
    x = 1,184,753.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.