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Finding the Third Proportional to 360,967.50 and 730,696.50

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Solution

The third proportional to 360,967.50 and 730,696.50 is: 1,479,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,967.50 : 730,696.50 = 730,696.50 : x
  2. Step 2: Convert to fraction form
    360,967.50/730,696.50 = 730,696.50/x
  3. Step 3: Cross multiply
    360,967.50x = 730,696.50 × 730,696.50
  4. Step 4: Simplify right side
    360,967.50x = 533,917,375,112.25
  5. Step 5: Solve for x
    x = 533,917,375,112.25/360,967.50
  6. Step 6: Final answer
    x = 1,479,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.