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Finding the Third Proportional to 310,318.50 and 725,202

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Solution

The third proportional to 310,318.50 and 725,202 is: 1,694,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,318.50 : 725,202 = 725,202 : x
  2. Step 2: Convert to fraction form
    310,318.50/725,202 = 725,202/x
  3. Step 3: Cross multiply
    310,318.50x = 725,202 × 725,202
  4. Step 4: Simplify right side
    310,318.50x = 525,917,940,804
  5. Step 5: Solve for x
    x = 525,917,940,804/310,318.50
  6. Step 6: Final answer
    x = 1,694,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.