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Finding the Third Proportional to 296,671.50 and 439,456.50

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Solution

The third proportional to 296,671.50 and 439,456.50 is: 650,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,671.50 : 439,456.50 = 439,456.50 : x
  2. Step 2: Convert to fraction form
    296,671.50/439,456.50 = 439,456.50/x
  3. Step 3: Cross multiply
    296,671.50x = 439,456.50 × 439,456.50
  4. Step 4: Simplify right side
    296,671.50x = 193,122,015,392.25
  5. Step 5: Solve for x
    x = 193,122,015,392.25/296,671.50
  6. Step 6: Final answer
    x = 650,962.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.