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Finding the Third Proportional to 385,472 and 574,880

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Solution

The third proportional to 385,472 and 574,880 is: 857,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,472 : 574,880 = 574,880 : x
  2. Step 2: Convert to fraction form
    385,472/574,880 = 574,880/x
  3. Step 3: Cross multiply
    385,472x = 574,880 × 574,880
  4. Step 4: Simplify right side
    385,472x = 330,487,014,400
  5. Step 5: Solve for x
    x = 330,487,014,400/385,472
  6. Step 6: Final answer
    x = 857,356.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.