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Finding the Third Proportional to 472,960 and 695,610

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Solution

The third proportional to 472,960 and 695,610 is: 1,023,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,960 : 695,610 = 695,610 : x
  2. Step 2: Convert to fraction form
    472,960/695,610 = 695,610/x
  3. Step 3: Cross multiply
    472,960x = 695,610 × 695,610
  4. Step 4: Simplify right side
    472,960x = 483,873,272,100
  5. Step 5: Solve for x
    x = 483,873,272,100/472,960
  6. Step 6: Final answer
    x = 1,023,074.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.