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Finding the Third Proportional to 470,742 and 696,969

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Solution

The third proportional to 470,742 and 696,969 is: 1,031,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,742 : 696,969 = 696,969 : x
  2. Step 2: Convert to fraction form
    470,742/696,969 = 696,969/x
  3. Step 3: Cross multiply
    470,742x = 696,969 × 696,969
  4. Step 4: Simplify right side
    470,742x = 485,765,786,961
  5. Step 5: Solve for x
    x = 485,765,786,961/470,742
  6. Step 6: Final answer
    x = 1,031,915.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.