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Finding the Third Proportional to 461,682 and 695,565

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Solution

The third proportional to 461,682 and 695,565 is: 1,047,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,682 : 695,565 = 695,565 : x
  2. Step 2: Convert to fraction form
    461,682/695,565 = 695,565/x
  3. Step 3: Cross multiply
    461,682x = 695,565 × 695,565
  4. Step 4: Simplify right side
    461,682x = 483,810,669,225
  5. Step 5: Solve for x
    x = 483,810,669,225/461,682
  6. Step 6: Final answer
    x = 1,047,930.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.