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Finding the Third Proportional to 295,598 and 441,453

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Solution

The third proportional to 295,598 and 441,453 is: 659,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,598 : 441,453 = 441,453 : x
  2. Step 2: Convert to fraction form
    295,598/441,453 = 441,453/x
  3. Step 3: Cross multiply
    295,598x = 441,453 × 441,453
  4. Step 4: Simplify right side
    295,598x = 194,880,751,209
  5. Step 5: Solve for x
    x = 194,880,751,209/295,598
  6. Step 6: Final answer
    x = 659,276.28

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Why These Related Problems?

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