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Finding the Third Proportional to 407,110.50 and 562,551.75

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Solution

The third proportional to 407,110.50 and 562,551.75 is: 777,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,110.50 : 562,551.75 = 562,551.75 : x
  2. Step 2: Convert to fraction form
    407,110.50/562,551.75 = 562,551.75/x
  3. Step 3: Cross multiply
    407,110.50x = 562,551.75 × 562,551.75
  4. Step 4: Simplify right side
    407,110.50x = 316,464,471,428.06
  5. Step 5: Solve for x
    x = 316,464,471,428.06/407,110.50
  6. Step 6: Final answer
    x = 777,342.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.