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Finding the Third Proportional to 316,289.81 and 683,098.31

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Solution

The third proportional to 316,289.81 and 683,098.31 is: 1,475,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,289.81 : 683,098.31 = 683,098.31 : x
  2. Step 2: Convert to fraction form
    316,289.81/683,098.31 = 683,098.31/x
  3. Step 3: Cross multiply
    316,289.81x = 683,098.31 × 683,098.31
  4. Step 4: Simplify right side
    316,289.81x = 466,623,304,540.35
  5. Step 5: Solve for x
    x = 466,623,304,540.35/316,289.81
  6. Step 6: Final answer
    x = 1,475,302.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.