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Finding the Third Proportional to 559,110 and 744,912

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Solution

The third proportional to 559,110 and 744,912 is: 992,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,110 : 744,912 = 744,912 : x
  2. Step 2: Convert to fraction form
    559,110/744,912 = 744,912/x
  3. Step 3: Cross multiply
    559,110x = 744,912 × 744,912
  4. Step 4: Simplify right side
    559,110x = 554,893,887,744
  5. Step 5: Solve for x
    x = 554,893,887,744/559,110
  6. Step 6: Final answer
    x = 992,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.