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Finding the Third Proportional to 335,722.50 and 725,064

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Solution

The third proportional to 335,722.50 and 725,064 is: 1,565,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,722.50 : 725,064 = 725,064 : x
  2. Step 2: Convert to fraction form
    335,722.50/725,064 = 725,064/x
  3. Step 3: Cross multiply
    335,722.50x = 725,064 × 725,064
  4. Step 4: Simplify right side
    335,722.50x = 525,717,804,096
  5. Step 5: Solve for x
    x = 525,717,804,096/335,722.50
  6. Step 6: Final answer
    x = 1,565,929.61

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