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Finding the Third Proportional to 242,616 and 518,481

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Solution

The third proportional to 242,616 and 518,481 is: 1,108,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,616 : 518,481 = 518,481 : x
  2. Step 2: Convert to fraction form
    242,616/518,481 = 518,481/x
  3. Step 3: Cross multiply
    242,616x = 518,481 × 518,481
  4. Step 4: Simplify right side
    242,616x = 268,822,547,361
  5. Step 5: Solve for x
    x = 268,822,547,361/242,616
  6. Step 6: Final answer
    x = 1,108,016.57

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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.