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Finding the Third Proportional to 387,313 and 598,224

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Solution

The third proportional to 387,313 and 598,224 is: 923,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,313 : 598,224 = 598,224 : x
  2. Step 2: Convert to fraction form
    387,313/598,224 = 598,224/x
  3. Step 3: Cross multiply
    387,313x = 598,224 × 598,224
  4. Step 4: Simplify right side
    387,313x = 357,871,954,176
  5. Step 5: Solve for x
    x = 357,871,954,176/387,313
  6. Step 6: Final answer
    x = 923,986.42

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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.