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Finding the Third Proportional to 316,947 and 696,102

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Solution

The third proportional to 316,947 and 696,102 is: 1,528,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,947 : 696,102 = 696,102 : x
  2. Step 2: Convert to fraction form
    316,947/696,102 = 696,102/x
  3. Step 3: Cross multiply
    316,947x = 696,102 × 696,102
  4. Step 4: Simplify right side
    316,947x = 484,557,994,404
  5. Step 5: Solve for x
    x = 484,557,994,404/316,947
  6. Step 6: Final answer
    x = 1,528,829.72

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