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Finding the Third Proportional to 475,625.25 and 736,146

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Solution

The third proportional to 475,625.25 and 736,146 is: 1,139,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,625.25 : 736,146 = 736,146 : x
  2. Step 2: Convert to fraction form
    475,625.25/736,146 = 736,146/x
  3. Step 3: Cross multiply
    475,625.25x = 736,146 × 736,146
  4. Step 4: Simplify right side
    475,625.25x = 541,910,933,316
  5. Step 5: Solve for x
    x = 541,910,933,316/475,625.25
  6. Step 6: Final answer
    x = 1,139,365.36

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