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Finding the Third Proportional to 377,280 and 565,920

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Solution

The third proportional to 377,280 and 565,920 is: 848,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,280 : 565,920 = 565,920 : x
  2. Step 2: Convert to fraction form
    377,280/565,920 = 565,920/x
  3. Step 3: Cross multiply
    377,280x = 565,920 × 565,920
  4. Step 4: Simplify right side
    377,280x = 320,265,446,400
  5. Step 5: Solve for x
    x = 320,265,446,400/377,280
  6. Step 6: Final answer
    x = 848,880

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.