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Finding the Third Proportional to 410,703 and 601,867.50

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Solution

The third proportional to 410,703 and 601,867.50 is: 882,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,703 : 601,867.50 = 601,867.50 : x
  2. Step 2: Convert to fraction form
    410,703/601,867.50 = 601,867.50/x
  3. Step 3: Cross multiply
    410,703x = 601,867.50 × 601,867.50
  4. Step 4: Simplify right side
    410,703x = 362,244,487,556.25
  5. Step 5: Solve for x
    x = 362,244,487,556.25/410,703
  6. Step 6: Final answer
    x = 882,010.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.