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Finding the Third Proportional to 216,681.75 and 524,319.75

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Solution

The third proportional to 216,681.75 and 524,319.75 is: 1,268,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,681.75 : 524,319.75 = 524,319.75 : x
  2. Step 2: Convert to fraction form
    216,681.75/524,319.75 = 524,319.75/x
  3. Step 3: Cross multiply
    216,681.75x = 524,319.75 × 524,319.75
  4. Step 4: Simplify right side
    216,681.75x = 274,911,200,240.06
  5. Step 5: Solve for x
    x = 274,911,200,240.06/216,681.75
  6. Step 6: Final answer
    x = 1,268,732.60

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.