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Finding the Third Proportional to 565,513.50 and 1,196,475

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Solution

The third proportional to 565,513.50 and 1,196,475 is: 2,531,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.50 : 1,196,475 = 1,196,475 : x
  2. Step 2: Convert to fraction form
    565,513.50/1,196,475 = 1,196,475/x
  3. Step 3: Cross multiply
    565,513.50x = 1,196,475 × 1,196,475
  4. Step 4: Simplify right side
    565,513.50x = 1,431,552,425,625
  5. Step 5: Solve for x
    x = 1,431,552,425,625/565,513.50
  6. Step 6: Final answer
    x = 2,531,420.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.