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Finding the Third Proportional to 407,053.50 and 598,369.50

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Solution

The third proportional to 407,053.50 and 598,369.50 is: 879,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,053.50 : 598,369.50 = 598,369.50 : x
  2. Step 2: Convert to fraction form
    407,053.50/598,369.50 = 598,369.50/x
  3. Step 3: Cross multiply
    407,053.50x = 598,369.50 × 598,369.50
  4. Step 4: Simplify right side
    407,053.50x = 358,046,058,530.25
  5. Step 5: Solve for x
    x = 358,046,058,530.25/407,053.50
  6. Step 6: Final answer
    x = 879,604.42

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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.