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Finding the Third Proportional to 374,965.50 and 824,973

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Solution

The third proportional to 374,965.50 and 824,973 is: 1,815,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,965.50 : 824,973 = 824,973 : x
  2. Step 2: Convert to fraction form
    374,965.50/824,973 = 824,973/x
  3. Step 3: Cross multiply
    374,965.50x = 824,973 × 824,973
  4. Step 4: Simplify right side
    374,965.50x = 680,580,450,729
  5. Step 5: Solve for x
    x = 680,580,450,729/374,965.50
  6. Step 6: Final answer
    x = 1,815,048.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.