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Finding the Third Proportional to 322,520 and 687,813.50

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Solution

The third proportional to 322,520 and 687,813.50 is: 1,466,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,520 : 687,813.50 = 687,813.50 : x
  2. Step 2: Convert to fraction form
    322,520/687,813.50 = 687,813.50/x
  3. Step 3: Cross multiply
    322,520x = 687,813.50 × 687,813.50
  4. Step 4: Simplify right side
    322,520x = 473,087,410,782.25
  5. Step 5: Solve for x
    x = 473,087,410,782.25/322,520
  6. Step 6: Final answer
    x = 1,466,846.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.