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Finding the Third Proportional to 331,612.50 and 710,541.75

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Solution

The third proportional to 331,612.50 and 710,541.75 is: 1,522,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,612.50 : 710,541.75 = 710,541.75 : x
  2. Step 2: Convert to fraction form
    331,612.50/710,541.75 = 710,541.75/x
  3. Step 3: Cross multiply
    331,612.50x = 710,541.75 × 710,541.75
  4. Step 4: Simplify right side
    331,612.50x = 504,869,578,493.06
  5. Step 5: Solve for x
    x = 504,869,578,493.06/331,612.50
  6. Step 6: Final answer
    x = 1,522,468.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.