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Finding the Third Proportional to 287,356 and 624,451.50

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Solution

The third proportional to 287,356 and 624,451.50 is: 1,356,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,356 : 624,451.50 = 624,451.50 : x
  2. Step 2: Convert to fraction form
    287,356/624,451.50 = 624,451.50/x
  3. Step 3: Cross multiply
    287,356x = 624,451.50 × 624,451.50
  4. Step 4: Simplify right side
    287,356x = 389,939,675,852.25
  5. Step 5: Solve for x
    x = 389,939,675,852.25/287,356
  6. Step 6: Final answer
    x = 1,356,991.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.