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Finding the Third Proportional to 349,080 and 724,064

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Solution

The third proportional to 349,080 and 724,064 is: 1,501,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,080 : 724,064 = 724,064 : x
  2. Step 2: Convert to fraction form
    349,080/724,064 = 724,064/x
  3. Step 3: Cross multiply
    349,080x = 724,064 × 724,064
  4. Step 4: Simplify right side
    349,080x = 524,268,676,096
  5. Step 5: Solve for x
    x = 524,268,676,096/349,080
  6. Step 6: Final answer
    x = 1,501,858.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.