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Finding the Third Proportional to 289,837.50 and 436,944

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Solution

The third proportional to 289,837.50 and 436,944 is: 658,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,837.50 : 436,944 = 436,944 : x
  2. Step 2: Convert to fraction form
    289,837.50/436,944 = 436,944/x
  3. Step 3: Cross multiply
    289,837.50x = 436,944 × 436,944
  4. Step 4: Simplify right side
    289,837.50x = 190,920,059,136
  5. Step 5: Solve for x
    x = 190,920,059,136/289,837.50
  6. Step 6: Final answer
    x = 658,714.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.