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Finding the Third Proportional to 461,652 and 695,514

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Solution

The third proportional to 461,652 and 695,514 is: 1,047,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,652 : 695,514 = 695,514 : x
  2. Step 2: Convert to fraction form
    461,652/695,514 = 695,514/x
  3. Step 3: Cross multiply
    461,652x = 695,514 × 695,514
  4. Step 4: Simplify right side
    461,652x = 483,739,724,196
  5. Step 5: Solve for x
    x = 483,739,724,196/461,652
  6. Step 6: Final answer
    x = 1,047,844.97

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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.