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Finding the Third Proportional to 448,466 and 666,307

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Solution

The third proportional to 448,466 and 666,307 is: 989,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,466 : 666,307 = 666,307 : x
  2. Step 2: Convert to fraction form
    448,466/666,307 = 666,307/x
  3. Step 3: Cross multiply
    448,466x = 666,307 × 666,307
  4. Step 4: Simplify right side
    448,466x = 443,965,018,249
  5. Step 5: Solve for x
    x = 443,965,018,249/448,466
  6. Step 6: Final answer
    x = 989,963.61

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Why These Related Problems?

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