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Finding the Third Proportional to 501,098 and 775,563

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Solution

The third proportional to 501,098 and 775,563 is: 1,200,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,098 : 775,563 = 775,563 : x
  2. Step 2: Convert to fraction form
    501,098/775,563 = 775,563/x
  3. Step 3: Cross multiply
    501,098x = 775,563 × 775,563
  4. Step 4: Simplify right side
    501,098x = 601,497,966,969
  5. Step 5: Solve for x
    x = 601,497,966,969/501,098
  6. Step 6: Final answer
    x = 1,200,359.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.