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Finding the Third Proportional to 287,592 and 604,992

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Solution

The third proportional to 287,592 and 604,992 is: 1,272,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,592 : 604,992 = 604,992 : x
  2. Step 2: Convert to fraction form
    287,592/604,992 = 604,992/x
  3. Step 3: Cross multiply
    287,592x = 604,992 × 604,992
  4. Step 4: Simplify right side
    287,592x = 366,015,320,064
  5. Step 5: Solve for x
    x = 366,015,320,064/287,592
  6. Step 6: Final answer
    x = 1,272,689.50

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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.