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Finding the Third Proportional to 467,905.50 and 708,459.75

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Solution

The third proportional to 467,905.50 and 708,459.75 is: 1,072,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,905.50 : 708,459.75 = 708,459.75 : x
  2. Step 2: Convert to fraction form
    467,905.50/708,459.75 = 708,459.75/x
  3. Step 3: Cross multiply
    467,905.50x = 708,459.75 × 708,459.75
  4. Step 4: Simplify right side
    467,905.50x = 501,915,217,370.06
  5. Step 5: Solve for x
    x = 501,915,217,370.06/467,905.50
  6. Step 6: Final answer
    x = 1,072,685.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.