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Finding the Third Proportional to 287,626 and 604,998

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Solution

The third proportional to 287,626 and 604,998 is: 1,272,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,626 : 604,998 = 604,998 : x
  2. Step 2: Convert to fraction form
    287,626/604,998 = 604,998/x
  3. Step 3: Cross multiply
    287,626x = 604,998 × 604,998
  4. Step 4: Simplify right side
    287,626x = 366,022,580,004
  5. Step 5: Solve for x
    x = 366,022,580,004/287,626
  6. Step 6: Final answer
    x = 1,272,564.30

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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.