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Finding the Third Proportional to 453,070 and 635,102

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Solution

The third proportional to 453,070 and 635,102 is: 890,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,070 : 635,102 = 635,102 : x
  2. Step 2: Convert to fraction form
    453,070/635,102 = 635,102/x
  3. Step 3: Cross multiply
    453,070x = 635,102 × 635,102
  4. Step 4: Simplify right side
    453,070x = 403,354,550,404
  5. Step 5: Solve for x
    x = 403,354,550,404/453,070
  6. Step 6: Final answer
    x = 890,269.83

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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.