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Finding the Third Proportional to 312,964.50 and 675,820.50

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Solution

The third proportional to 312,964.50 and 675,820.50 is: 1,459,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,964.50 : 675,820.50 = 675,820.50 : x
  2. Step 2: Convert to fraction form
    312,964.50/675,820.50 = 675,820.50/x
  3. Step 3: Cross multiply
    312,964.50x = 675,820.50 × 675,820.50
  4. Step 4: Simplify right side
    312,964.50x = 456,733,348,220.25
  5. Step 5: Solve for x
    x = 456,733,348,220.25/312,964.50
  6. Step 6: Final answer
    x = 1,459,377.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.