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Finding the Third Proportional to 596,240 and 902,064

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Solution

The third proportional to 596,240 and 902,064 is: 1,364,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,240 : 902,064 = 902,064 : x
  2. Step 2: Convert to fraction form
    596,240/902,064 = 902,064/x
  3. Step 3: Cross multiply
    596,240x = 902,064 × 902,064
  4. Step 4: Simplify right side
    596,240x = 813,719,460,096
  5. Step 5: Solve for x
    x = 813,719,460,096/596,240
  6. Step 6: Final answer
    x = 1,364,751.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.