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Finding the Third Proportional to 295,251.75 and 609,136.50

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Solution

The third proportional to 295,251.75 and 609,136.50 is: 1,256,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,251.75 : 609,136.50 = 609,136.50 : x
  2. Step 2: Convert to fraction form
    295,251.75/609,136.50 = 609,136.50/x
  3. Step 3: Cross multiply
    295,251.75x = 609,136.50 × 609,136.50
  4. Step 4: Simplify right side
    295,251.75x = 371,047,275,632.25
  5. Step 5: Solve for x
    x = 371,047,275,632.25/295,251.75
  6. Step 6: Final answer
    x = 1,256,714.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.