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Finding the Third Proportional to 500,775 and 776,586

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Solution

The third proportional to 500,775 and 776,586 is: 1,204,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,775 : 776,586 = 776,586 : x
  2. Step 2: Convert to fraction form
    500,775/776,586 = 776,586/x
  3. Step 3: Cross multiply
    500,775x = 776,586 × 776,586
  4. Step 4: Simplify right side
    500,775x = 603,085,815,396
  5. Step 5: Solve for x
    x = 603,085,815,396/500,775
  6. Step 6: Final answer
    x = 1,204,304.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.