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Finding the Third Proportional to 538,554.09 and 833,866.88

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Solution

The third proportional to 538,554.09 and 833,866.88 is: 1,291,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,554.09 : 833,866.88 = 833,866.88 : x
  2. Step 2: Convert to fraction form
    538,554.09/833,866.88 = 833,866.88/x
  3. Step 3: Cross multiply
    538,554.09x = 833,866.88 × 833,866.88
  4. Step 4: Simplify right side
    538,554.09x = 695,333,965,222.27
  5. Step 5: Solve for x
    x = 695,333,965,222.27/538,554.09
  6. Step 6: Final answer
    x = 1,291,112.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.