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Finding the Third Proportional to 374,478 and 574,230

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Solution

The third proportional to 374,478 and 574,230 is: 880,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,478 : 574,230 = 574,230 : x
  2. Step 2: Convert to fraction form
    374,478/574,230 = 574,230/x
  3. Step 3: Cross multiply
    374,478x = 574,230 × 574,230
  4. Step 4: Simplify right side
    374,478x = 329,740,092,900
  5. Step 5: Solve for x
    x = 329,740,092,900/374,478
  6. Step 6: Final answer
    x = 880,532.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.