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Finding the Third Proportional to 287,471 and 604,741

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Solution

The third proportional to 287,471 and 604,741 is: 1,272,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,471 : 604,741 = 604,741 : x
  2. Step 2: Convert to fraction form
    287,471/604,741 = 604,741/x
  3. Step 3: Cross multiply
    287,471x = 604,741 × 604,741
  4. Step 4: Simplify right side
    287,471x = 365,711,677,081
  5. Step 5: Solve for x
    x = 365,711,677,081/287,471
  6. Step 6: Final answer
    x = 1,272,168.94

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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.