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Finding the Third Proportional to 242,353 and 518,402

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Solution

The third proportional to 242,353 and 518,402 is: 1,108,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,353 : 518,402 = 518,402 : x
  2. Step 2: Convert to fraction form
    242,353/518,402 = 518,402/x
  3. Step 3: Cross multiply
    242,353x = 518,402 × 518,402
  4. Step 4: Simplify right side
    242,353x = 268,740,633,604
  5. Step 5: Solve for x
    x = 268,740,633,604/242,353
  6. Step 6: Final answer
    x = 1,108,880.99

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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.