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Finding the Third Proportional to 538,053 and 824,028

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Solution

The third proportional to 538,053 and 824,028 is: 1,261,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,053 : 824,028 = 824,028 : x
  2. Step 2: Convert to fraction form
    538,053/824,028 = 824,028/x
  3. Step 3: Cross multiply
    538,053x = 824,028 × 824,028
  4. Step 4: Simplify right side
    538,053x = 679,022,144,784
  5. Step 5: Solve for x
    x = 679,022,144,784/538,053
  6. Step 6: Final answer
    x = 1,261,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.