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Finding the Third Proportional to 366,835.50 and 546,868.50

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Solution

The third proportional to 366,835.50 and 546,868.50 is: 815,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,835.50 : 546,868.50 = 546,868.50 : x
  2. Step 2: Convert to fraction form
    366,835.50/546,868.50 = 546,868.50/x
  3. Step 3: Cross multiply
    366,835.50x = 546,868.50 × 546,868.50
  4. Step 4: Simplify right side
    366,835.50x = 299,065,156,292.25
  5. Step 5: Solve for x
    x = 299,065,156,292.25/366,835.50
  6. Step 6: Final answer
    x = 815,256.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.