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Finding the Third Proportional to 298,029 and 646,515

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Solution

The third proportional to 298,029 and 646,515 is: 1,402,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,029 : 646,515 = 646,515 : x
  2. Step 2: Convert to fraction form
    298,029/646,515 = 646,515/x
  3. Step 3: Cross multiply
    298,029x = 646,515 × 646,515
  4. Step 4: Simplify right side
    298,029x = 417,981,645,225
  5. Step 5: Solve for x
    x = 417,981,645,225/298,029
  6. Step 6: Final answer
    x = 1,402,486.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.