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Finding the Third Proportional to 535,802 and 816,265

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Solution

The third proportional to 535,802 and 816,265 is: 1,243,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,802 : 816,265 = 816,265 : x
  2. Step 2: Convert to fraction form
    535,802/816,265 = 816,265/x
  3. Step 3: Cross multiply
    535,802x = 816,265 × 816,265
  4. Step 4: Simplify right side
    535,802x = 666,288,550,225
  5. Step 5: Solve for x
    x = 666,288,550,225/535,802
  6. Step 6: Final answer
    x = 1,243,535.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.