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Finding the Third Proportional to 453,396 and 666,264

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Solution

The third proportional to 453,396 and 666,264 is: 979,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,396 : 666,264 = 666,264 : x
  2. Step 2: Convert to fraction form
    453,396/666,264 = 666,264/x
  3. Step 3: Cross multiply
    453,396x = 666,264 × 666,264
  4. Step 4: Simplify right side
    453,396x = 443,907,717,696
  5. Step 5: Solve for x
    x = 443,907,717,696/453,396
  6. Step 6: Final answer
    x = 979,072.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.