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Finding the Third Proportional to 242,475 and 523,668

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Solution

The third proportional to 242,475 and 523,668 is: 1,130,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,475 : 523,668 = 523,668 : x
  2. Step 2: Convert to fraction form
    242,475/523,668 = 523,668/x
  3. Step 3: Cross multiply
    242,475x = 523,668 × 523,668
  4. Step 4: Simplify right side
    242,475x = 274,228,174,224
  5. Step 5: Solve for x
    x = 274,228,174,224/242,475
  6. Step 6: Final answer
    x = 1,130,954.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.