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Finding the Third Proportional to 448,464 and 666,304

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Solution

The third proportional to 448,464 and 666,304 is: 989,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,464 : 666,304 = 666,304 : x
  2. Step 2: Convert to fraction form
    448,464/666,304 = 666,304/x
  3. Step 3: Cross multiply
    448,464x = 666,304 × 666,304
  4. Step 4: Simplify right side
    448,464x = 443,961,020,416
  5. Step 5: Solve for x
    x = 443,961,020,416/448,464
  6. Step 6: Final answer
    x = 989,959.11

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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.