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Finding the Third Proportional to 374,079 and 580,417

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Solution

The third proportional to 374,079 and 580,417 is: 900,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,079 : 580,417 = 580,417 : x
  2. Step 2: Convert to fraction form
    374,079/580,417 = 580,417/x
  3. Step 3: Cross multiply
    374,079x = 580,417 × 580,417
  4. Step 4: Simplify right side
    374,079x = 336,883,893,889
  5. Step 5: Solve for x
    x = 336,883,893,889/374,079
  6. Step 6: Final answer
    x = 900,568.85

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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.