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Finding the Third Proportional to 448,397 and 666,210

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Solution

The third proportional to 448,397 and 666,210 is: 989,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,397 : 666,210 = 666,210 : x
  2. Step 2: Convert to fraction form
    448,397/666,210 = 666,210/x
  3. Step 3: Cross multiply
    448,397x = 666,210 × 666,210
  4. Step 4: Simplify right side
    448,397x = 443,835,764,100
  5. Step 5: Solve for x
    x = 443,835,764,100/448,397
  6. Step 6: Final answer
    x = 989,827.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.