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Finding the Third Proportional to 463,459.50 and 701,727.75

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Solution

The third proportional to 463,459.50 and 701,727.75 is: 1,062,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,459.50 : 701,727.75 = 701,727.75 : x
  2. Step 2: Convert to fraction form
    463,459.50/701,727.75 = 701,727.75/x
  3. Step 3: Cross multiply
    463,459.50x = 701,727.75 × 701,727.75
  4. Step 4: Simplify right side
    463,459.50x = 492,421,835,120.06
  5. Step 5: Solve for x
    x = 492,421,835,120.06/463,459.50
  6. Step 6: Final answer
    x = 1,062,491.62

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Why These Related Problems?

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