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Finding the Third Proportional to 448,962 and 997,570.50

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Solution

The third proportional to 448,962 and 997,570.50 is: 2,216,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,962 : 997,570.50 = 997,570.50 : x
  2. Step 2: Convert to fraction form
    448,962/997,570.50 = 997,570.50/x
  3. Step 3: Cross multiply
    448,962x = 997,570.50 × 997,570.50
  4. Step 4: Simplify right side
    448,962x = 995,146,902,470.25
  5. Step 5: Solve for x
    x = 995,146,902,470.25/448,962
  6. Step 6: Final answer
    x = 2,216,550.40

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.