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Finding the Third Proportional to 448,967.25 and 997,575.75

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Solution

The third proportional to 448,967.25 and 997,575.75 is: 2,216,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,967.25 : 997,575.75 = 997,575.75 : x
  2. Step 2: Convert to fraction form
    448,967.25/997,575.75 = 997,575.75/x
  3. Step 3: Cross multiply
    448,967.25x = 997,575.75 × 997,575.75
  4. Step 4: Simplify right side
    448,967.25x = 995,157,376,988.06
  5. Step 5: Solve for x
    x = 995,157,376,988.06/448,967.25
  6. Step 6: Final answer
    x = 2,216,547.81

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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.