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Finding the Third Proportional to 287,469 and 604,737

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Solution

The third proportional to 287,469 and 604,737 is: 1,272,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,469 : 604,737 = 604,737 : x
  2. Step 2: Convert to fraction form
    287,469/604,737 = 604,737/x
  3. Step 3: Cross multiply
    287,469x = 604,737 × 604,737
  4. Step 4: Simplify right side
    287,469x = 365,706,839,169
  5. Step 5: Solve for x
    x = 365,706,839,169/287,469
  6. Step 6: Final answer
    x = 1,272,160.96

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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.