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Finding the Third Proportional to 364,225.50 and 546,333.75

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Solution

The third proportional to 364,225.50 and 546,333.75 is: 819,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,225.50 : 546,333.75 = 546,333.75 : x
  2. Step 2: Convert to fraction form
    364,225.50/546,333.75 = 546,333.75/x
  3. Step 3: Cross multiply
    364,225.50x = 546,333.75 × 546,333.75
  4. Step 4: Simplify right side
    364,225.50x = 298,480,566,389.06
  5. Step 5: Solve for x
    x = 298,480,566,389.06/364,225.50
  6. Step 6: Final answer
    x = 819,493.88

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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.