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Finding the Third Proportional to 245,583.75 and 542,784

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Solution

The third proportional to 245,583.75 and 542,784 is: 1,199,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,583.75 : 542,784 = 542,784 : x
  2. Step 2: Convert to fraction form
    245,583.75/542,784 = 542,784/x
  3. Step 3: Cross multiply
    245,583.75x = 542,784 × 542,784
  4. Step 4: Simplify right side
    245,583.75x = 294,614,470,656
  5. Step 5: Solve for x
    x = 294,614,470,656/245,583.75
  6. Step 6: Final answer
    x = 1,199,649.69

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.