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Finding the Third Proportional to 289,204.13 and 626,673.75

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Solution

The third proportional to 289,204.13 and 626,673.75 is: 1,357,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,204.13 : 626,673.75 = 626,673.75 : x
  2. Step 2: Convert to fraction form
    289,204.13/626,673.75 = 626,673.75/x
  3. Step 3: Cross multiply
    289,204.13x = 626,673.75 × 626,673.75
  4. Step 4: Simplify right side
    289,204.13x = 392,719,988,939.06
  5. Step 5: Solve for x
    x = 392,719,988,939.06/289,204.13
  6. Step 6: Final answer
    x = 1,357,933.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.