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Finding the Third Proportional to 252,361.41 and 387,895.50

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Solution

The third proportional to 252,361.41 and 387,895.50 is: 596,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,361.41 : 387,895.50 = 387,895.50 : x
  2. Step 2: Convert to fraction form
    252,361.41/387,895.50 = 387,895.50/x
  3. Step 3: Cross multiply
    252,361.41x = 387,895.50 × 387,895.50
  4. Step 4: Simplify right side
    252,361.41x = 150,462,918,920.25
  5. Step 5: Solve for x
    x = 150,462,918,920.25/252,361.41
  6. Step 6: Final answer
    x = 596,220.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.