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Finding the Third Proportional to 500,496 and 775,623

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Solution

The third proportional to 500,496 and 775,623 is: 1,201,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,496 : 775,623 = 775,623 : x
  2. Step 2: Convert to fraction form
    500,496/775,623 = 775,623/x
  3. Step 3: Cross multiply
    500,496x = 775,623 × 775,623
  4. Step 4: Simplify right side
    500,496x = 601,591,038,129
  5. Step 5: Solve for x
    x = 601,591,038,129/500,496
  6. Step 6: Final answer
    x = 1,201,989.70

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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.