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Finding the Third Proportional to 474,136 and 727,052

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Solution

The third proportional to 474,136 and 727,052 is: 1,114,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,136 : 727,052 = 727,052 : x
  2. Step 2: Convert to fraction form
    474,136/727,052 = 727,052/x
  3. Step 3: Cross multiply
    474,136x = 727,052 × 727,052
  4. Step 4: Simplify right side
    474,136x = 528,604,610,704
  5. Step 5: Solve for x
    x = 528,604,610,704/474,136
  6. Step 6: Final answer
    x = 1,114,879.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.