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Finding the Third Proportional to 200,394 and 310,716

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Solution

The third proportional to 200,394 and 310,716 is: 481,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394 : 310,716 = 310,716 : x
  2. Step 2: Convert to fraction form
    200,394/310,716 = 310,716/x
  3. Step 3: Cross multiply
    200,394x = 310,716 × 310,716
  4. Step 4: Simplify right side
    200,394x = 96,544,432,656
  5. Step 5: Solve for x
    x = 96,544,432,656/200,394
  6. Step 6: Final answer
    x = 481,773.07

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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.