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Finding the Third Proportional to 364,567.50 and 546,835.50

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Solution

The third proportional to 364,567.50 and 546,835.50 is: 820,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,567.50 : 546,835.50 = 546,835.50 : x
  2. Step 2: Convert to fraction form
    364,567.50/546,835.50 = 546,835.50/x
  3. Step 3: Cross multiply
    364,567.50x = 546,835.50 × 546,835.50
  4. Step 4: Simplify right side
    364,567.50x = 299,029,064,060.25
  5. Step 5: Solve for x
    x = 299,029,064,060.25/364,567.50
  6. Step 6: Final answer
    x = 820,229.63

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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.