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Finding the Third Proportional to 240,184 and 519,813

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Solution

The third proportional to 240,184 and 519,813 is: 1,124,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,184 : 519,813 = 519,813 : x
  2. Step 2: Convert to fraction form
    240,184/519,813 = 519,813/x
  3. Step 3: Cross multiply
    240,184x = 519,813 × 519,813
  4. Step 4: Simplify right side
    240,184x = 270,205,554,969
  5. Step 5: Solve for x
    x = 270,205,554,969/240,184
  6. Step 6: Final answer
    x = 1,124,993.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.