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Finding the Third Proportional to 453,330 and 635,472

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Solution

The third proportional to 453,330 and 635,472 is: 890,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,330 : 635,472 = 635,472 : x
  2. Step 2: Convert to fraction form
    453,330/635,472 = 635,472/x
  3. Step 3: Cross multiply
    453,330x = 635,472 × 635,472
  4. Step 4: Simplify right side
    453,330x = 403,824,662,784
  5. Step 5: Solve for x
    x = 403,824,662,784/453,330
  6. Step 6: Final answer
    x = 890,796.25

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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.