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Finding the Third Proportional to 500,580 and 751,842

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Solution

The third proportional to 500,580 and 751,842 is: 1,129,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,580 : 751,842 = 751,842 : x
  2. Step 2: Convert to fraction form
    500,580/751,842 = 751,842/x
  3. Step 3: Cross multiply
    500,580x = 751,842 × 751,842
  4. Step 4: Simplify right side
    500,580x = 565,266,392,964
  5. Step 5: Solve for x
    x = 565,266,392,964/500,580
  6. Step 6: Final answer
    x = 1,129,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.