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Finding the Third Proportional to 452,086.31 and 613,973.67

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Solution

The third proportional to 452,086.31 and 613,973.67 is: 833,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,086.31 : 613,973.67 = 613,973.67 : x
  2. Step 2: Convert to fraction form
    452,086.31/613,973.67 = 613,973.67/x
  3. Step 3: Cross multiply
    452,086.31x = 613,973.67 × 613,973.67
  4. Step 4: Simplify right side
    452,086.31x = 376,963,669,755.67
  5. Step 5: Solve for x
    x = 376,963,669,755.67/452,086.31
  6. Step 6: Final answer
    x = 833,831.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.