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Finding the Third Proportional to 446,335 and 689,605.50

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Solution

The third proportional to 446,335 and 689,605.50 is: 1,065,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,335 : 689,605.50 = 689,605.50 : x
  2. Step 2: Convert to fraction form
    446,335/689,605.50 = 689,605.50/x
  3. Step 3: Cross multiply
    446,335x = 689,605.50 × 689,605.50
  4. Step 4: Simplify right side
    446,335x = 475,555,745,630.25
  5. Step 5: Solve for x
    x = 475,555,745,630.25/446,335
  6. Step 6: Final answer
    x = 1,065,468.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.