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Finding the Third Proportional to 506,350 and 1,080,497

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Solution

The third proportional to 506,350 and 1,080,497 is: 2,305,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,350 : 1,080,497 = 1,080,497 : x
  2. Step 2: Convert to fraction form
    506,350/1,080,497 = 1,080,497/x
  3. Step 3: Cross multiply
    506,350x = 1,080,497 × 1,080,497
  4. Step 4: Simplify right side
    506,350x = 1,167,473,767,009
  5. Step 5: Solve for x
    x = 1,167,473,767,009/506,350
  6. Step 6: Final answer
    x = 2,305,665.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.