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Finding the Third Proportional to 469,073 and 727,268

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Solution

The third proportional to 469,073 and 727,268 is: 1,127,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073 : 727,268 = 727,268 : x
  2. Step 2: Convert to fraction form
    469,073/727,268 = 727,268/x
  3. Step 3: Cross multiply
    469,073x = 727,268 × 727,268
  4. Step 4: Simplify right side
    469,073x = 528,918,743,824
  5. Step 5: Solve for x
    x = 528,918,743,824/469,073
  6. Step 6: Final answer
    x = 1,127,583.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.