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Finding the Third Proportional to 316,737 and 683,268.75

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Solution

The third proportional to 316,737 and 683,268.75 is: 1,473,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,737 : 683,268.75 = 683,268.75 : x
  2. Step 2: Convert to fraction form
    316,737/683,268.75 = 683,268.75/x
  3. Step 3: Cross multiply
    316,737x = 683,268.75 × 683,268.75
  4. Step 4: Simplify right side
    316,737x = 466,856,184,726.56
  5. Step 5: Solve for x
    x = 466,856,184,726.56/316,737
  6. Step 6: Final answer
    x = 1,473,955.32

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Why These Related Problems?

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