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Finding the Third Proportional to 446,739 and 963,457.50

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Solution

The third proportional to 446,739 and 963,457.50 is: 2,077,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,739 : 963,457.50 = 963,457.50 : x
  2. Step 2: Convert to fraction form
    446,739/963,457.50 = 963,457.50/x
  3. Step 3: Cross multiply
    446,739x = 963,457.50 × 963,457.50
  4. Step 4: Simplify right side
    446,739x = 928,250,354,306.25
  5. Step 5: Solve for x
    x = 928,250,354,306.25/446,739
  6. Step 6: Final answer
    x = 2,077,835.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.