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Finding the Third Proportional to 536,742 and 752,310

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Solution

The third proportional to 536,742 and 752,310 is: 1,054,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,742 : 752,310 = 752,310 : x
  2. Step 2: Convert to fraction form
    536,742/752,310 = 752,310/x
  3. Step 3: Cross multiply
    536,742x = 752,310 × 752,310
  4. Step 4: Simplify right side
    536,742x = 565,970,336,100
  5. Step 5: Solve for x
    x = 565,970,336,100/536,742
  6. Step 6: Final answer
    x = 1,054,455.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.