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Finding the Third Proportional to 282,384 and 620,928

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Solution

The third proportional to 282,384 and 620,928 is: 1,365,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384 : 620,928 = 620,928 : x
  2. Step 2: Convert to fraction form
    282,384/620,928 = 620,928/x
  3. Step 3: Cross multiply
    282,384x = 620,928 × 620,928
  4. Step 4: Simplify right side
    282,384x = 385,551,581,184
  5. Step 5: Solve for x
    x = 385,551,581,184/282,384
  6. Step 6: Final answer
    x = 1,365,345.00

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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.