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Finding the Third Proportional to 677,520.50 and 997,562

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Solution

The third proportional to 677,520.50 and 997,562 is: 1,468,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,520.50 : 997,562 = 997,562 : x
  2. Step 2: Convert to fraction form
    677,520.50/997,562 = 997,562/x
  3. Step 3: Cross multiply
    677,520.50x = 997,562 × 997,562
  4. Step 4: Simplify right side
    677,520.50x = 995,129,943,844
  5. Step 5: Solve for x
    x = 995,129,943,844/677,520.50
  6. Step 6: Final answer
    x = 1,468,782.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.