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Finding the Third Proportional to 272,902.50 and 414,862.50

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Solution

The third proportional to 272,902.50 and 414,862.50 is: 630,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,902.50 : 414,862.50 = 414,862.50 : x
  2. Step 2: Convert to fraction form
    272,902.50/414,862.50 = 414,862.50/x
  3. Step 3: Cross multiply
    272,902.50x = 414,862.50 × 414,862.50
  4. Step 4: Simplify right side
    272,902.50x = 172,110,893,906.25
  5. Step 5: Solve for x
    x = 172,110,893,906.25/272,902.50
  6. Step 6: Final answer
    x = 630,668.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.