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Finding the Third Proportional to 374,080 and 580,418

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Solution

The third proportional to 374,080 and 580,418 is: 900,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,080 : 580,418 = 580,418 : x
  2. Step 2: Convert to fraction form
    374,080/580,418 = 580,418/x
  3. Step 3: Cross multiply
    374,080x = 580,418 × 580,418
  4. Step 4: Simplify right side
    374,080x = 336,885,054,724
  5. Step 5: Solve for x
    x = 336,885,054,724/374,080
  6. Step 6: Final answer
    x = 900,569.54

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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.