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Finding the Third Proportional to 242,361 and 524,466

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Solution

The third proportional to 242,361 and 524,466 is: 1,134,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,361 : 524,466 = 524,466 : x
  2. Step 2: Convert to fraction form
    242,361/524,466 = 524,466/x
  3. Step 3: Cross multiply
    242,361x = 524,466 × 524,466
  4. Step 4: Simplify right side
    242,361x = 275,064,585,156
  5. Step 5: Solve for x
    x = 275,064,585,156/242,361
  6. Step 6: Final answer
    x = 1,134,937.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.