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Finding the Third Proportional to 565,532 and 1,196,508

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Solution

The third proportional to 565,532 and 1,196,508 is: 2,531,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,532 : 1,196,508 = 1,196,508 : x
  2. Step 2: Convert to fraction form
    565,532/1,196,508 = 1,196,508/x
  3. Step 3: Cross multiply
    565,532x = 1,196,508 × 1,196,508
  4. Step 4: Simplify right side
    565,532x = 1,431,631,394,064
  5. Step 5: Solve for x
    x = 1,431,631,394,064/565,532
  6. Step 6: Final answer
    x = 2,531,477.25

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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.