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Finding the Third Proportional to 467,272 and 732,054

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Solution

The third proportional to 467,272 and 732,054 is: 1,146,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,272 : 732,054 = 732,054 : x
  2. Step 2: Convert to fraction form
    467,272/732,054 = 732,054/x
  3. Step 3: Cross multiply
    467,272x = 732,054 × 732,054
  4. Step 4: Simplify right side
    467,272x = 535,903,058,916
  5. Step 5: Solve for x
    x = 535,903,058,916/467,272
  6. Step 6: Final answer
    x = 1,146,876.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.