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Finding the Third Proportional to 287,576 and 604,896

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Solution

The third proportional to 287,576 and 604,896 is: 1,272,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,576 : 604,896 = 604,896 : x
  2. Step 2: Convert to fraction form
    287,576/604,896 = 604,896/x
  3. Step 3: Cross multiply
    287,576x = 604,896 × 604,896
  4. Step 4: Simplify right side
    287,576x = 365,899,170,816
  5. Step 5: Solve for x
    x = 365,899,170,816/287,576
  6. Step 6: Final answer
    x = 1,272,356.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.