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Finding the Third Proportional to 242,454 and 518,604

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Solution

The third proportional to 242,454 and 518,604 is: 1,109,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,454 : 518,604 = 518,604 : x
  2. Step 2: Convert to fraction form
    242,454/518,604 = 518,604/x
  3. Step 3: Cross multiply
    242,454x = 518,604 × 518,604
  4. Step 4: Simplify right side
    242,454x = 268,950,108,816
  5. Step 5: Solve for x
    x = 268,950,108,816/242,454
  6. Step 6: Final answer
    x = 1,109,283.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.