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Finding the Third Proportional to 242,612 and 518,476

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Solution

The third proportional to 242,612 and 518,476 is: 1,108,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,612 : 518,476 = 518,476 : x
  2. Step 2: Convert to fraction form
    242,612/518,476 = 518,476/x
  3. Step 3: Cross multiply
    242,612x = 518,476 × 518,476
  4. Step 4: Simplify right side
    242,612x = 268,817,362,576
  5. Step 5: Solve for x
    x = 268,817,362,576/242,612
  6. Step 6: Final answer
    x = 1,108,013.46

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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.