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Finding the Third Proportional to 298,021 and 646,501

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Solution

The third proportional to 298,021 and 646,501 is: 1,402,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,021 : 646,501 = 646,501 : x
  2. Step 2: Convert to fraction form
    298,021/646,501 = 646,501/x
  3. Step 3: Cross multiply
    298,021x = 646,501 × 646,501
  4. Step 4: Simplify right side
    298,021x = 417,963,543,001
  5. Step 5: Solve for x
    x = 417,963,543,001/298,021
  6. Step 6: Final answer
    x = 1,402,463.39

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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.