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Finding the Third Proportional to 476,307.50 and 1,027,396

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Solution

The third proportional to 476,307.50 and 1,027,396 is: 2,216,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,307.50 : 1,027,396 = 1,027,396 : x
  2. Step 2: Convert to fraction form
    476,307.50/1,027,396 = 1,027,396/x
  3. Step 3: Cross multiply
    476,307.50x = 1,027,396 × 1,027,396
  4. Step 4: Simplify right side
    476,307.50x = 1,055,542,540,816
  5. Step 5: Solve for x
    x = 1,055,542,540,816/476,307.50
  6. Step 6: Final answer
    x = 2,216,094.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.