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Finding the Third Proportional to 407,016 and 598,752

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Solution

The third proportional to 407,016 and 598,752 is: 880,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,016 : 598,752 = 598,752 : x
  2. Step 2: Convert to fraction form
    407,016/598,752 = 598,752/x
  3. Step 3: Cross multiply
    407,016x = 598,752 × 598,752
  4. Step 4: Simplify right side
    407,016x = 358,503,957,504
  5. Step 5: Solve for x
    x = 358,503,957,504/407,016
  6. Step 6: Final answer
    x = 880,810.48

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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.