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Finding the Third Proportional to 489,341.25 and 737,019

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Solution

The third proportional to 489,341.25 and 737,019 is: 1,110,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,341.25 : 737,019 = 737,019 : x
  2. Step 2: Convert to fraction form
    489,341.25/737,019 = 737,019/x
  3. Step 3: Cross multiply
    489,341.25x = 737,019 × 737,019
  4. Step 4: Simplify right side
    489,341.25x = 543,197,006,361
  5. Step 5: Solve for x
    x = 543,197,006,361/489,341.25
  6. Step 6: Final answer
    x = 1,110,057.67

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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.