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Finding the Third Proportional to 677,520.25 and 997,562.25

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Solution

The third proportional to 677,520.25 and 997,562.25 is: 1,468,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,520.25 : 997,562.25 = 997,562.25 : x
  2. Step 2: Convert to fraction form
    677,520.25/997,562.25 = 997,562.25/x
  3. Step 3: Cross multiply
    677,520.25x = 997,562.25 × 997,562.25
  4. Step 4: Simplify right side
    677,520.25x = 995,130,442,625.06
  5. Step 5: Solve for x
    x = 995,130,442,625.06/677,520.25
  6. Step 6: Final answer
    x = 1,468,783.32

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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.