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Finding the Third Proportional to 386,066 and 590,580

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Solution

The third proportional to 386,066 and 590,580 is: 903,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,066 : 590,580 = 590,580 : x
  2. Step 2: Convert to fraction form
    386,066/590,580 = 590,580/x
  3. Step 3: Cross multiply
    386,066x = 590,580 × 590,580
  4. Step 4: Simplify right side
    386,066x = 348,784,736,400
  5. Step 5: Solve for x
    x = 348,784,736,400/386,066
  6. Step 6: Final answer
    x = 903,432.93

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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.