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Finding the Third Proportional to 243,436 and 524,672

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Solution

The third proportional to 243,436 and 524,672 is: 1,130,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,436 : 524,672 = 524,672 : x
  2. Step 2: Convert to fraction form
    243,436/524,672 = 524,672/x
  3. Step 3: Cross multiply
    243,436x = 524,672 × 524,672
  4. Step 4: Simplify right side
    243,436x = 275,280,707,584
  5. Step 5: Solve for x
    x = 275,280,707,584/243,436
  6. Step 6: Final answer
    x = 1,130,813.47

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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.