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Finding the Third Proportional to 316,946 and 696,100

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Solution

The third proportional to 316,946 and 696,100 is: 1,528,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,946 : 696,100 = 696,100 : x
  2. Step 2: Convert to fraction form
    316,946/696,100 = 696,100/x
  3. Step 3: Cross multiply
    316,946x = 696,100 × 696,100
  4. Step 4: Simplify right side
    316,946x = 484,555,210,000
  5. Step 5: Solve for x
    x = 484,555,210,000/316,946
  6. Step 6: Final answer
    x = 1,528,825.76

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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.