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Finding the Third Proportional to 209,344 and 458,498

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Solution

The third proportional to 209,344 and 458,498 is: 1,004,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,344 : 458,498 = 458,498 : x
  2. Step 2: Convert to fraction form
    209,344/458,498 = 458,498/x
  3. Step 3: Cross multiply
    209,344x = 458,498 × 458,498
  4. Step 4: Simplify right side
    209,344x = 210,220,416,004
  5. Step 5: Solve for x
    x = 210,220,416,004/209,344
  6. Step 6: Final answer
    x = 1,004,186.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.