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Finding the Third Proportional to 312,642 and 484,407

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Solution

The third proportional to 312,642 and 484,407 is: 750,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,642 : 484,407 = 484,407 : x
  2. Step 2: Convert to fraction form
    312,642/484,407 = 484,407/x
  3. Step 3: Cross multiply
    312,642x = 484,407 × 484,407
  4. Step 4: Simplify right side
    312,642x = 234,650,141,649
  5. Step 5: Solve for x
    x = 234,650,141,649/312,642
  6. Step 6: Final answer
    x = 750,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.