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Finding the Third Proportional to 407,392 and 598,600

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Solution

The third proportional to 407,392 and 598,600 is: 879,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,392 : 598,600 = 598,600 : x
  2. Step 2: Convert to fraction form
    407,392/598,600 = 598,600/x
  3. Step 3: Cross multiply
    407,392x = 598,600 × 598,600
  4. Step 4: Simplify right side
    407,392x = 358,321,960,000
  5. Step 5: Solve for x
    x = 358,321,960,000/407,392
  6. Step 6: Final answer
    x = 879,550.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.