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Finding the Third Proportional to 387,645.75 and 595,684.13

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Solution

The third proportional to 387,645.75 and 595,684.13 is: 915,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645.75 : 595,684.13 = 595,684.13 : x
  2. Step 2: Convert to fraction form
    387,645.75/595,684.13 = 595,684.13/x
  3. Step 3: Cross multiply
    387,645.75x = 595,684.13 × 595,684.13
  4. Step 4: Simplify right side
    387,645.75x = 354,839,576,777.02
  5. Step 5: Solve for x
    x = 354,839,576,777.02/387,645.75
  6. Step 6: Final answer
    x = 915,370.74

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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.