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Finding the Third Proportional to 559,105.88 and 744,908.06

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Solution

The third proportional to 559,105.88 and 744,908.06 is: 992,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,105.88 : 744,908.06 = 744,908.06 : x
  2. Step 2: Convert to fraction form
    559,105.88/744,908.06 = 744,908.06/x
  3. Step 3: Cross multiply
    559,105.88x = 744,908.06 × 744,908.06
  4. Step 4: Simplify right side
    559,105.88x = 554,888,021,577.50
  5. Step 5: Solve for x
    x = 554,888,021,577.50/559,105.88
  6. Step 6: Final answer
    x = 992,456.07

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