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Finding the Third Proportional to 295,613.50 and 670,143

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Solution

The third proportional to 295,613.50 and 670,143 is: 1,519,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,613.50 : 670,143 = 670,143 : x
  2. Step 2: Convert to fraction form
    295,613.50/670,143 = 670,143/x
  3. Step 3: Cross multiply
    295,613.50x = 670,143 × 670,143
  4. Step 4: Simplify right side
    295,613.50x = 449,091,640,449
  5. Step 5: Solve for x
    x = 449,091,640,449/295,613.50
  6. Step 6: Final answer
    x = 1,519,185.15

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.