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Finding the Third Proportional to 591,741 and 961,384.50

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Solution

The third proportional to 591,741 and 961,384.50 is: 1,561,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,741 : 961,384.50 = 961,384.50 : x
  2. Step 2: Convert to fraction form
    591,741/961,384.50 = 961,384.50/x
  3. Step 3: Cross multiply
    591,741x = 961,384.50 × 961,384.50
  4. Step 4: Simplify right side
    591,741x = 924,260,156,840.25
  5. Step 5: Solve for x
    x = 924,260,156,840.25/591,741
  6. Step 6: Final answer
    x = 1,561,933.61

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.