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Finding the Third Proportional to 243,492 and 531,273

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Solution

The third proportional to 243,492 and 531,273 is: 1,159,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,492 : 531,273 = 531,273 : x
  2. Step 2: Convert to fraction form
    243,492/531,273 = 531,273/x
  3. Step 3: Cross multiply
    243,492x = 531,273 × 531,273
  4. Step 4: Simplify right side
    243,492x = 282,251,000,529
  5. Step 5: Solve for x
    x = 282,251,000,529/243,492
  6. Step 6: Final answer
    x = 1,159,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.