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Finding the Third Proportional to 453,967 and 636,223

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Solution

The third proportional to 453,967 and 636,223 is: 891,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,967 : 636,223 = 636,223 : x
  2. Step 2: Convert to fraction form
    453,967/636,223 = 636,223/x
  3. Step 3: Cross multiply
    453,967x = 636,223 × 636,223
  4. Step 4: Simplify right side
    453,967x = 404,779,705,729
  5. Step 5: Solve for x
    x = 404,779,705,729/453,967
  6. Step 6: Final answer
    x = 891,650.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.