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Finding the Third Proportional to 287,443 and 604,653.50

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Solution

The third proportional to 287,443 and 604,653.50 is: 1,271,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,443 : 604,653.50 = 604,653.50 : x
  2. Step 2: Convert to fraction form
    287,443/604,653.50 = 604,653.50/x
  3. Step 3: Cross multiply
    287,443x = 604,653.50 × 604,653.50
  4. Step 4: Simplify right side
    287,443x = 365,605,855,062.25
  5. Step 5: Solve for x
    x = 365,605,855,062.25/287,443
  6. Step 6: Final answer
    x = 1,271,924.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.