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Finding the Third Proportional to 461,642 and 695,500

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Solution

The third proportional to 461,642 and 695,500 is: 1,047,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,642 : 695,500 = 695,500 : x
  2. Step 2: Convert to fraction form
    461,642/695,500 = 695,500/x
  3. Step 3: Cross multiply
    461,642x = 695,500 × 695,500
  4. Step 4: Simplify right side
    461,642x = 483,720,250,000
  5. Step 5: Solve for x
    x = 483,720,250,000/461,642
  6. Step 6: Final answer
    x = 1,047,825.48

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