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Finding the Third Proportional to 320,674.50 and 705,334.50

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Solution

The third proportional to 320,674.50 and 705,334.50 is: 1,551,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,674.50 : 705,334.50 = 705,334.50 : x
  2. Step 2: Convert to fraction form
    320,674.50/705,334.50 = 705,334.50/x
  3. Step 3: Cross multiply
    320,674.50x = 705,334.50 × 705,334.50
  4. Step 4: Simplify right side
    320,674.50x = 497,496,756,890.25
  5. Step 5: Solve for x
    x = 497,496,756,890.25/320,674.50
  6. Step 6: Final answer
    x = 1,551,407.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.