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Finding the Third Proportional to 287,449 and 604,692

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Solution

The third proportional to 287,449 and 604,692 is: 1,272,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,449 : 604,692 = 604,692 : x
  2. Step 2: Convert to fraction form
    287,449/604,692 = 604,692/x
  3. Step 3: Cross multiply
    287,449x = 604,692 × 604,692
  4. Step 4: Simplify right side
    287,449x = 365,652,414,864
  5. Step 5: Solve for x
    x = 365,652,414,864/287,449
  6. Step 6: Final answer
    x = 1,272,060.14

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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.