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Finding the Third Proportional to 364,513.50 and 546,768

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Solution

The third proportional to 364,513.50 and 546,768 is: 820,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.50 : 546,768 = 546,768 : x
  2. Step 2: Convert to fraction form
    364,513.50/546,768 = 546,768/x
  3. Step 3: Cross multiply
    364,513.50x = 546,768 × 546,768
  4. Step 4: Simplify right side
    364,513.50x = 298,955,245,824
  5. Step 5: Solve for x
    x = 298,955,245,824/364,513.50
  6. Step 6: Final answer
    x = 820,148.63

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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.