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Finding the Third Proportional to 335,725.50 and 725,070

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Solution

The third proportional to 335,725.50 and 725,070 is: 1,565,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,725.50 : 725,070 = 725,070 : x
  2. Step 2: Convert to fraction form
    335,725.50/725,070 = 725,070/x
  3. Step 3: Cross multiply
    335,725.50x = 725,070 × 725,070
  4. Step 4: Simplify right side
    335,725.50x = 525,726,504,900
  5. Step 5: Solve for x
    x = 525,726,504,900/335,725.50
  6. Step 6: Final answer
    x = 1,565,941.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.