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Finding the Third Proportional to 246,044 and 401,764

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Solution

The third proportional to 246,044 and 401,764 is: 656,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,044 : 401,764 = 401,764 : x
  2. Step 2: Convert to fraction form
    246,044/401,764 = 401,764/x
  3. Step 3: Cross multiply
    246,044x = 401,764 × 401,764
  4. Step 4: Simplify right side
    246,044x = 161,414,311,696
  5. Step 5: Solve for x
    x = 161,414,311,696/246,044
  6. Step 6: Final answer
    x = 656,038.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.