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Finding the Third Proportional to 407,234 and 598,647

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Solution

The third proportional to 407,234 and 598,647 is: 880,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,234 : 598,647 = 598,647 : x
  2. Step 2: Convert to fraction form
    407,234/598,647 = 598,647/x
  3. Step 3: Cross multiply
    407,234x = 598,647 × 598,647
  4. Step 4: Simplify right side
    407,234x = 358,378,230,609
  5. Step 5: Solve for x
    x = 358,378,230,609/407,234
  6. Step 6: Final answer
    x = 880,030.23

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Why These Related Problems?

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