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Finding the Third Proportional to 316,944 and 696,096

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Solution

The third proportional to 316,944 and 696,096 is: 1,528,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,944 : 696,096 = 696,096 : x
  2. Step 2: Convert to fraction form
    316,944/696,096 = 696,096/x
  3. Step 3: Cross multiply
    316,944x = 696,096 × 696,096
  4. Step 4: Simplify right side
    316,944x = 484,549,641,216
  5. Step 5: Solve for x
    x = 484,549,641,216/316,944
  6. Step 6: Final answer
    x = 1,528,817.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.