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Finding the Third Proportional to 456,632 and 727,228

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Solution

The third proportional to 456,632 and 727,228 is: 1,158,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,632 : 727,228 = 727,228 : x
  2. Step 2: Convert to fraction form
    456,632/727,228 = 727,228/x
  3. Step 3: Cross multiply
    456,632x = 727,228 × 727,228
  4. Step 4: Simplify right side
    456,632x = 528,860,563,984
  5. Step 5: Solve for x
    x = 528,860,563,984/456,632
  6. Step 6: Final answer
    x = 1,158,176.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.