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Finding the Third Proportional to 519,459.75 and 751,663.13

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Solution

The third proportional to 519,459.75 and 751,663.13 is: 1,087,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,459.75 : 751,663.13 = 751,663.13 : x
  2. Step 2: Convert to fraction form
    519,459.75/751,663.13 = 751,663.13/x
  3. Step 3: Cross multiply
    519,459.75x = 751,663.13 × 751,663.13
  4. Step 4: Simplify right side
    519,459.75x = 564,997,453,484.77
  5. Step 5: Solve for x
    x = 564,997,453,484.77/519,459.75
  6. Step 6: Final answer
    x = 1,087,663.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.