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Finding the Third Proportional to 301,089.94 and 440,326.50

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Solution

The third proportional to 301,089.94 and 440,326.50 is: 643,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,089.94 : 440,326.50 = 440,326.50 : x
  2. Step 2: Convert to fraction form
    301,089.94/440,326.50 = 440,326.50/x
  3. Step 3: Cross multiply
    301,089.94x = 440,326.50 × 440,326.50
  4. Step 4: Simplify right side
    301,089.94x = 193,887,426,602.25
  5. Step 5: Solve for x
    x = 193,887,426,602.25/301,089.94
  6. Step 6: Final answer
    x = 643,951.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.