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Finding the Third Proportional to 240,348 and 377,019

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Solution

The third proportional to 240,348 and 377,019 is: 591,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,348 : 377,019 = 377,019 : x
  2. Step 2: Convert to fraction form
    240,348/377,019 = 377,019/x
  3. Step 3: Cross multiply
    240,348x = 377,019 × 377,019
  4. Step 4: Simplify right side
    240,348x = 142,143,326,361
  5. Step 5: Solve for x
    x = 142,143,326,361/240,348
  6. Step 6: Final answer
    x = 591,406.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.