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Finding the Third Proportional to 304,762.50 and 665,739

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Solution

The third proportional to 304,762.50 and 665,739 is: 1,454,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,762.50 : 665,739 = 665,739 : x
  2. Step 2: Convert to fraction form
    304,762.50/665,739 = 665,739/x
  3. Step 3: Cross multiply
    304,762.50x = 665,739 × 665,739
  4. Step 4: Simplify right side
    304,762.50x = 443,208,416,121
  5. Step 5: Solve for x
    x = 443,208,416,121/304,762.50
  6. Step 6: Final answer
    x = 1,454,274.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.