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Finding the Third Proportional to 251,253 and 546,793.50

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Solution

The third proportional to 251,253 and 546,793.50 is: 1,189,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,253 : 546,793.50 = 546,793.50 : x
  2. Step 2: Convert to fraction form
    251,253/546,793.50 = 546,793.50/x
  3. Step 3: Cross multiply
    251,253x = 546,793.50 × 546,793.50
  4. Step 4: Simplify right side
    251,253x = 298,983,131,642.25
  5. Step 5: Solve for x
    x = 298,983,131,642.25/251,253
  6. Step 6: Final answer
    x = 1,189,968.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.