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Finding the Third Proportional to 246,417.19 and 501,764.63

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Solution

The third proportional to 246,417.19 and 501,764.63 is: 1,021,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,417.19 : 501,764.63 = 501,764.63 : x
  2. Step 2: Convert to fraction form
    246,417.19/501,764.63 = 501,764.63/x
  3. Step 3: Cross multiply
    246,417.19x = 501,764.63 × 501,764.63
  4. Step 4: Simplify right side
    246,417.19x = 251,767,738,901.39
  5. Step 5: Solve for x
    x = 251,767,738,901.39/246,417.19
  6. Step 6: Final answer
    x = 1,021,713.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.