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Finding the Third Proportional to 307,068.75 and 547,688.25

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Solution

The third proportional to 307,068.75 and 547,688.25 is: 976,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,068.75 : 547,688.25 = 547,688.25 : x
  2. Step 2: Convert to fraction form
    307,068.75/547,688.25 = 547,688.25/x
  3. Step 3: Cross multiply
    307,068.75x = 547,688.25 × 547,688.25
  4. Step 4: Simplify right side
    307,068.75x = 299,962,419,188.06
  5. Step 5: Solve for x
    x = 299,962,419,188.06/307,068.75
  6. Step 6: Final answer
    x = 976,857.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.