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Finding the Third Proportional to 351,711.18 and 715,852.37

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Solution

The third proportional to 351,711.18 and 715,852.37 is: 1,457,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,711.18 : 715,852.37 = 715,852.37 : x
  2. Step 2: Convert to fraction form
    351,711.18/715,852.37 = 715,852.37/x
  3. Step 3: Cross multiply
    351,711.18x = 715,852.37 × 715,852.37
  4. Step 4: Simplify right side
    351,711.18x = 512,444,617,200.54
  5. Step 5: Solve for x
    x = 512,444,617,200.54/351,711.18
  6. Step 6: Final answer
    x = 1,457,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.