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Finding the Third Proportional to 343,621.75 and 710,814.50

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Solution

The third proportional to 343,621.75 and 710,814.50 is: 1,470,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,621.75 : 710,814.50 = 710,814.50 : x
  2. Step 2: Convert to fraction form
    343,621.75/710,814.50 = 710,814.50/x
  3. Step 3: Cross multiply
    343,621.75x = 710,814.50 × 710,814.50
  4. Step 4: Simplify right side
    343,621.75x = 505,257,253,410.25
  5. Step 5: Solve for x
    x = 505,257,253,410.25/343,621.75
  6. Step 6: Final answer
    x = 1,470,387.87

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.