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Finding the Third Proportional to 366,973.88 and 516,784.50

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Solution

The third proportional to 366,973.88 and 516,784.50 is: 727,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,973.88 : 516,784.50 = 516,784.50 : x
  2. Step 2: Convert to fraction form
    366,973.88/516,784.50 = 516,784.50/x
  3. Step 3: Cross multiply
    366,973.88x = 516,784.50 × 516,784.50
  4. Step 4: Simplify right side
    366,973.88x = 267,066,219,440.25
  5. Step 5: Solve for x
    x = 267,066,219,440.25/366,973.88
  6. Step 6: Final answer
    x = 727,752.68

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Why These Related Problems?

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