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Finding the Third Proportional to 386,316.84 and 591,002.58

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Solution

The third proportional to 386,316.84 and 591,002.58 is: 904,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,316.84 : 591,002.58 = 591,002.58 : x
  2. Step 2: Convert to fraction form
    386,316.84/591,002.58 = 591,002.58/x
  3. Step 3: Cross multiply
    386,316.84x = 591,002.58 × 591,002.58
  4. Step 4: Simplify right side
    386,316.84x = 349,284,047,350.40
  5. Step 5: Solve for x
    x = 349,284,047,350.40/386,316.84
  6. Step 6: Final answer
    x = 904,138.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.