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Finding the Third Proportional to 292,986.94 and 440,260.50

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Solution

The third proportional to 292,986.94 and 440,260.50 is: 661,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,986.94 : 440,260.50 = 440,260.50 : x
  2. Step 2: Convert to fraction form
    292,986.94/440,260.50 = 440,260.50/x
  3. Step 3: Cross multiply
    292,986.94x = 440,260.50 × 440,260.50
  4. Step 4: Simplify right side
    292,986.94x = 193,829,307,860.25
  5. Step 5: Solve for x
    x = 193,829,307,860.25/292,986.94
  6. Step 6: Final answer
    x = 661,562.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.