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Finding the Third Proportional to 366,935.63 and 516,726

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Solution

The third proportional to 366,935.63 and 516,726 is: 727,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,935.63 : 516,726 = 516,726 : x
  2. Step 2: Convert to fraction form
    366,935.63/516,726 = 516,726/x
  3. Step 3: Cross multiply
    366,935.63x = 516,726 × 516,726
  4. Step 4: Simplify right side
    366,935.63x = 267,005,759,076
  5. Step 5: Solve for x
    x = 267,005,759,076/366,935.63
  6. Step 6: Final answer
    x = 727,663.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.