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Finding the Third Proportional to 475,773 and 728,729.25

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Solution

The third proportional to 475,773 and 728,729.25 is: 1,116,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,773 : 728,729.25 = 728,729.25 : x
  2. Step 2: Convert to fraction form
    475,773/728,729.25 = 728,729.25/x
  3. Step 3: Cross multiply
    475,773x = 728,729.25 × 728,729.25
  4. Step 4: Simplify right side
    475,773x = 531,046,319,805.56
  5. Step 5: Solve for x
    x = 531,046,319,805.56/475,773
  6. Step 6: Final answer
    x = 1,116,175.82

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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.