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Finding the Third Proportional to 467,247 and 710,104.50

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Solution

The third proportional to 467,247 and 710,104.50 is: 1,079,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,247 : 710,104.50 = 710,104.50 : x
  2. Step 2: Convert to fraction form
    467,247/710,104.50 = 710,104.50/x
  3. Step 3: Cross multiply
    467,247x = 710,104.50 × 710,104.50
  4. Step 4: Simplify right side
    467,247x = 504,248,400,920.25
  5. Step 5: Solve for x
    x = 504,248,400,920.25/467,247
  6. Step 6: Final answer
    x = 1,079,190.24

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.