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Finding the Third Proportional to 298,246 and 653,192

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Solution

The third proportional to 298,246 and 653,192 is: 1,430,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,246 : 653,192 = 653,192 : x
  2. Step 2: Convert to fraction form
    298,246/653,192 = 653,192/x
  3. Step 3: Cross multiply
    298,246x = 653,192 × 653,192
  4. Step 4: Simplify right side
    298,246x = 426,659,788,864
  5. Step 5: Solve for x
    x = 426,659,788,864/298,246
  6. Step 6: Final answer
    x = 1,430,563.32

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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.