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Finding the Third Proportional to 364,801.50 and 548,370

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Solution

The third proportional to 364,801.50 and 548,370 is: 824,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,801.50 : 548,370 = 548,370 : x
  2. Step 2: Convert to fraction form
    364,801.50/548,370 = 548,370/x
  3. Step 3: Cross multiply
    364,801.50x = 548,370 × 548,370
  4. Step 4: Simplify right side
    364,801.50x = 300,709,656,900
  5. Step 5: Solve for x
    x = 300,709,656,900/364,801.50
  6. Step 6: Final answer
    x = 824,310.36

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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.