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Finding the Third Proportional to 423,018 and 866,668.50

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Solution

The third proportional to 423,018 and 866,668.50 is: 1,775,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,018 : 866,668.50 = 866,668.50 : x
  2. Step 2: Convert to fraction form
    423,018/866,668.50 = 866,668.50/x
  3. Step 3: Cross multiply
    423,018x = 866,668.50 × 866,668.50
  4. Step 4: Simplify right side
    423,018x = 751,114,288,892.25
  5. Step 5: Solve for x
    x = 751,114,288,892.25/423,018
  6. Step 6: Final answer
    x = 1,775,608.34

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.