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Finding the Third Proportional to 538,051.13 and 824,025.75

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Solution

The third proportional to 538,051.13 and 824,025.75 is: 1,261,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,051.13 : 824,025.75 = 824,025.75 : x
  2. Step 2: Convert to fraction form
    538,051.13/824,025.75 = 824,025.75/x
  3. Step 3: Cross multiply
    538,051.13x = 824,025.75 × 824,025.75
  4. Step 4: Simplify right side
    538,051.13x = 679,018,436,663.06
  5. Step 5: Solve for x
    x = 679,018,436,663.06/538,051.13
  6. Step 6: Final answer
    x = 1,261,996.13

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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.