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Finding the Third Proportional to 374,650 and 574,491

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Solution

The third proportional to 374,650 and 574,491 is: 880,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,650 : 574,491 = 574,491 : x
  2. Step 2: Convert to fraction form
    374,650/574,491 = 574,491/x
  3. Step 3: Cross multiply
    374,650x = 574,491 × 574,491
  4. Step 4: Simplify right side
    374,650x = 330,039,909,081
  5. Step 5: Solve for x
    x = 330,039,909,081/374,650
  6. Step 6: Final answer
    x = 880,928.62

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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.