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Finding the Third Proportional to 235,378 and 514,494

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Solution

The third proportional to 235,378 and 514,494 is: 1,124,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,378 : 514,494 = 514,494 : x
  2. Step 2: Convert to fraction form
    235,378/514,494 = 514,494/x
  3. Step 3: Cross multiply
    235,378x = 514,494 × 514,494
  4. Step 4: Simplify right side
    235,378x = 264,704,076,036
  5. Step 5: Solve for x
    x = 264,704,076,036/235,378
  6. Step 6: Final answer
    x = 1,124,591.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.