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Finding the Third Proportional to 541,814.50 and 797,011

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Solution

The third proportional to 541,814.50 and 797,011 is: 1,172,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,814.50 : 797,011 = 797,011 : x
  2. Step 2: Convert to fraction form
    541,814.50/797,011 = 797,011/x
  3. Step 3: Cross multiply
    541,814.50x = 797,011 × 797,011
  4. Step 4: Simplify right side
    541,814.50x = 635,226,534,121
  5. Step 5: Solve for x
    x = 635,226,534,121/541,814.50
  6. Step 6: Final answer
    x = 1,172,405.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.