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Finding the Third Proportional to 243,299 and 522,562

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Solution

The third proportional to 243,299 and 522,562 is: 1,122,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,299 : 522,562 = 522,562 : x
  2. Step 2: Convert to fraction form
    243,299/522,562 = 522,562/x
  3. Step 3: Cross multiply
    243,299x = 522,562 × 522,562
  4. Step 4: Simplify right side
    243,299x = 273,071,043,844
  5. Step 5: Solve for x
    x = 273,071,043,844/243,299
  6. Step 6: Final answer
    x = 1,122,368.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.