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Finding the Third Proportional to 410,060.25 and 887,512.50

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Solution

The third proportional to 410,060.25 and 887,512.50 is: 1,920,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,060.25 : 887,512.50 = 887,512.50 : x
  2. Step 2: Convert to fraction form
    410,060.25/887,512.50 = 887,512.50/x
  3. Step 3: Cross multiply
    410,060.25x = 887,512.50 × 887,512.50
  4. Step 4: Simplify right side
    410,060.25x = 787,678,437,656.25
  5. Step 5: Solve for x
    x = 787,678,437,656.25/410,060.25
  6. Step 6: Final answer
    x = 1,920,884.64

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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.