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Finding the Third Proportional to 340,938 and 511,407

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Solution

The third proportional to 340,938 and 511,407 is: 767,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,938 : 511,407 = 511,407 : x
  2. Step 2: Convert to fraction form
    340,938/511,407 = 511,407/x
  3. Step 3: Cross multiply
    340,938x = 511,407 × 511,407
  4. Step 4: Simplify right side
    340,938x = 261,537,119,649
  5. Step 5: Solve for x
    x = 261,537,119,649/340,938
  6. Step 6: Final answer
    x = 767,110.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.