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Finding the Third Proportional to 387,936 and 598,320

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Solution

The third proportional to 387,936 and 598,320 is: 922,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,936 : 598,320 = 598,320 : x
  2. Step 2: Convert to fraction form
    387,936/598,320 = 598,320/x
  3. Step 3: Cross multiply
    387,936x = 598,320 × 598,320
  4. Step 4: Simplify right side
    387,936x = 357,986,822,400
  5. Step 5: Solve for x
    x = 357,986,822,400/387,936
  6. Step 6: Final answer
    x = 922,798.66

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